1. Algebraic Geometry Links and list of algebraic geometers.Category Science Math Geometry algebraic geometry......algebraic geometry. David Mumford. General algebraic geometry Sites. AlgebraicGeometry Preprints at Duke; European algebraic geometry AGE and EUROPROJ; http://www.math.byu.edu/People/links/jarvis/alg-geom.html

Algebraic Geometry Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate. David Mumford General Algebraic Geometry Sites Algebraic Geometry Preprints at Duke European Algebraic Geometry: AGE and EUROPROJ Tata Institute of Fundamental Research Mountain West Algebraic Geometry Workshops ... IAS/Park City Summer Mathematics Institute Algebraic Curves Projections of complex plane curves to real three-space Maple package for Algebraic Curves: examples and documentation A Visual Dictionary of Special Plane Curves Overview of Algebraic Curves (Geometry Center) Famous Curves Index (University of St. Andrews) Algebraic Surfaces or Surfaces with many ordinary nodes. Cyclides or Enriques surfaces Gallery of surfaces (Kaiserslautern) Parade of singularities (Liverpool) Mathematical Surfaces (Bergen) Algebraic Geometers and the Like General sources AGE and EUROPROJ's list. Upenn's directory of mathematicians online. AMS Combined Membership List. Biographies etc. et People with web pages Dan Abramovich Shreeram Abhyankar Paolo Aluffi Dror Bar-Natan ... Noam D. Elkies

2. EAGER - European Algebraic Geometry Research Training Network run since 1990; the members of EAGER are algebraic geometers in mathematical centres spreading among most European http://euclid.mathematik.uni-kl.de/

Your browser does not support frames! Click here for the EAGER welcome page. Click here for the EAGER menu.

3. 14: Algebraic Geometry 14 algebraic geometry algebraic geometry combines the algebraic with the geometric for the benefit of both. Thus the recent proof of "Fermat's Last Theorem" ostensibly a statement in number theory was proved with geometric tools. http://www.math.niu.edu/~rusin/known-math/index/14-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 14: Algebraic geometry Introduction Algebraic geometry combines the algebraic with the geometric for the benefit of both. Thus the recent proof of "Fermat's Last Theorem" ostensibly a statement in number theory was proved with geometric tools. Conversely, the geometry of sets defined by equations is studied using quite sophisticated algebraic machinery. This is an enticing area but the important topics are quite deep. This area includes elliptic curves. History Applications and related fields geometry (in particular for conics and curves), algebra (since algebraic geometry is commutative ring theory...) number theory (especially for Diophantine analysis). Subfields Foundations Local theory, see also 32SXX Cycles and subschemes Families, fibrations Birational geometry [Mappings and correspondences] (Co)homology theory, see also 13DXX Arithmetic problems. Diophantine geometry, see also 11DXX, 11GXX 14H: Curves 14J: Surfaces and higher-dimensional varieties . For analytic theory, see 32JXX

4. Algebraic Geometry What is algebraic geometry? algebraic geometry is a subject with historical roots in analytic geometry. At its most naive level it is concerned with the geometry of the solutions of a system of polynomial equations. http://www.math.tamu.edu/~Peter.Stiller/agpage.html

Algebraic Geometry What is Algebraic Geometry? Research Interests: For a list of related publications, click here Return to TAMU Math Return to Dr. Stiller's home page

5. Journal Of Algebraic Geometry Online Journal of algebraic geometry. Initial Submissions page. Journal ofalgebraic geometry. Managing Editor S. ST Yau. Editorial Board http://www.ams.org/distribution/jag/

Online Recently Posted Articles Most Recent Issue All Issues Search Authors Author Packages Initial Submissions Where to send files for accepted papers Manuscript tracking About Editorial Board The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles posted individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website. Subscriptions: Subscriptions to this journal can be obtained through the AMS Bookstore . Subscriptions and orders can also be addressed to the American Mathematical Society, P.O. Box 845904, Boston, MA 02284-5904. All orders must be accompanied by payment. A

6. Arithmetic Algebraic Geometry Since October 1, 2000, a new Research Training Network in Arithmetic algebraic geometryis sponsored by the European Community. Its home page can be found at http://www.maths.univ-rennes1.fr/arithgeom.html

A Research Training Network of the European Community Since October 1, 2000, a new Research Training Network in Arithmetic Algebraic Geometry is sponsored by the European Community. Its home page can be found at : http://www.maths.univ-rennes1.fr/arithgeom/ For informations about the previous network (TMR programme), please look at : http://www.maths.univ-rennes1.fr/arithgeom/tmr/ P. Berthelot Last update : 29.10.00 This network is a Research Training Network of the European Community, under the programme Improving Human Potential and the Socio-Economic Knowledge Base Contract : HPRN-CT-2000-00120

7. Dynamic Directory - Science - Math - Geometry - Algebraic Geometry AGATHOS algebraic geometry A Total Hypertext Online System - An online system for learning algebraic geometry. http://www.maximumedge.com/cgi/dir/index.cgi/Science/Math/Geometry/Algebraic_Geo

var AdLoaded = false; var bsid = '18707'; var bsads = '6'; var bsloc = ''; var bswx = 468; var bshx = 60; var bsw = '_top'; var bsb = 'FFFFFF'; var bsf = '000000'; var bsalt = 'off'; MaximumEdge.com Search E-Mail News ... Maps Dynamic Directory Top Science Math Geometry :Algebraic Geometry Description Events Research Groups Software ... Elliptic curves See also: Science: Math: Number Theory AGATHOS - Algebraic Geometry: A Total Hypertext Online System - An online system for learning algebraic geometry. Algebraic Curves - An overview. Algebraic Curves - Lecture Notes from H.W. Lenstra's course Math 274, Berkeley 1995. Algebraic Functions and Projective Curves - Home page of the book by David Goldschmidt. Full text (registration required), errata, discussion forum. Algebraic Geometry - Links and list of algebraic geometers. Algebraic Geometry Notebooks for Non-Experts - By Aksel Sogstad. Short introductory sketch of some topics in the algebraic geometry of curves. ArXiv Front - Algebraic Geometry - Papers and preprints. Borcherds' Solutions to Hartshorne - Solutions to the exercises in chapter 1 of Hartshorne's "Algebraic Geometry" The Brill-Noether Project - Aims to answer the basic questions this theory B(n,d,k) for vector bundles on algebraic curves. Welcomes contributions.

8. Southwestern Center Home Based at the University of Arizona, in collaboration with the Universities of New Mexico, Southern Category Science Math Number Theory Research Groups......Southwestern Center for Arithmetical algebraic geometry. http://swc.math.arizona.edu/~swcenter/

Southwestern Center for Arithmetical Algebraic Geometry The Upcoming Arizona Winter School Previous Arizona Winter Schools Our Distinguished Lecture Series Notes and Other Documents ... A Slide Show (Requires Javascript) About the Southwestern Center Local and Travel Information Site Map and Search E-mail us News The schedule and notes for AWS 2003 are now available. Newcomers to the AWS may want to check our new Guide to the Arizona Winter School The Southwestern Center The Southwestern Center for Arithmetical Algebraic Geometry was founded in 1997 by seven mathematicians working in the southwest, namely Alex Buium, Minhyong Kim, Bill McCallum, Wayne Raskind, Dinesh Thakur, Doug Ulmer (PI), and Felipe Voloch. They were joined in 2002 by Michael Nakamaye, Bjorn Poonen, and Fernando Rodriguez-Villegas. The Center is funded by the National Science Foundation, and its activities include the annual Arizona Winter School and a distinguished lecture series. Follow the links at left to learn more about the Southwestern Center. Updates To receive occasional messages with news about the Southwestern Center, join our mailing list by filling out this

9. Arithmetic Algebraic Geometry The "Arithmetic algebraic geometry" network is sponsored by the European Commission's current programme for "Research http://www.maths.univ-rennes1.fr/arithgeom

A Research Training Network of the European Community Overview Partners Programme Post-docs Activities Project overview Developing powerful methods taken from geometry to study the arithmetical properties of algebraic equations Algebraic equations and their arithmetical properties have interested mankind since antiquity. One has only to think of the works of Pythagoras and Diophantus, which were a milestone in their time. For many centuries such problems have fascinated both serious mathematicians (Fermat, Gauss, ...) and amateurs alike. However, developments in recent years have transformed the subject into one of the central areas of mathematical research, which has relations with, or applications to, virtually every mathematical field, as well as an impact to contemporary everyday life (for example, the use of prime numbers and factorisation for encoding "smart" cards). The classical treatment of equations by analysis and geometry in the realm of complex numbers in this century has found a counterpart, in the similar theories over finite and p -adic fields, which have particular significance for arithmetic questions. The study of certain functions encoding arithmetic information and generalising the Riemann zeta-function (

10. Algebraic Geometry Authors/titles Recent Submissions Contains good introductory notes on algebraic geometryCategory Science Math Geometry algebraic geometry...... http://xxx.lanl.gov/list/math.AG/recent

Algebraic Geometry Authors and titles for recent submissions Tue, 18 Mar 2003 Fri, 14 Mar 2003 Thu, 13 Mar 2003 Wed, 12 Mar 2003 ... Tue, 11 Mar 2003 Tue, 18 Mar 2003 math.AT/0303207 abs ps pdf other Title: Combinatorial classes on the moduli space of curves are tautological Authors: Gabriele Mondello Comments: 25 pages, 2 figures (xypic), LaTeX2e Subj-class: Algebraic Topology; Algebraic Geometry MSC-class: math.AC/0303200 abs ps pdf other Title: Valuations, Deformations, and Toric Geometry Authors: Bernard Teissier Subj-class: Commutative Algebra; Algebraic Geometry MSC-class: math.AG/0303210 abs ps pdf other Title: On Shokurov's Log Flips: The 3-dimensional Case Authors: Caucher Birkar Comments: 12 pages Subj-class: Algebraic Geometry math.AG/0303209 abs ps pdf other Title: A non-commutative BGG correspondence Authors: Peter Jorgensen Comments: 21 pages Subj-class: Algebraic Geometry; Rings and Algebras; Representation Theory MSC-class: math.AG/0303208 abs ps pdf other Title: Toric degeneration of Schubert varieties and Gel'fandCetlin polytopes Authors: Mikhail Kogan Ezra Miller Comments: 15 pages Subj-class: Algebraic Geometry math.AG/0303206

11. Algebraic Geometry algebraic geometry algebraic geometry. Finite maps; Dimension theory; Regularmaps and their fibres; algebraic geometry over an arbitrary field; http://www.jmilne.org/math/CourseNotes/math631.html

Algebraic Geometry Algebraic Geometry Math 631.dvi Math 631.ps.gz math 631.pdf v2.01 (August 24, 1996). First version on the web. v3.01 (June 13, 1998). Added 5 sections (25 pages) and an index. Minor changes to Sections 0-8. 157pp. Contents Algorithms for polynomials Algebraic sets Affine algebraic varieties Algebaic varieties Local study: tangent spaces; tangent cones; singularities Projective varieties; complete varieties Finite maps Dimension theory Regular maps and their fibres Algebraic geometry over an arbitrary field Divisors and intersection theory Coherent sheaves; invertible sheaves Differentials Algebraic varieties over the complex numbers Further reading

12. Algebraic Geometry -- From MathWorld algebraic geometry, This entry contributed by Todd Rowland. algebraic geometryis the study of geometries that come from algebra, in particular, from rings. http://mathworld.wolfram.com/AlgebraicGeometry.html

Algebra Algebraic Geometry Abstract Algebraic Curves Algebra ... Rowland Algebraic Geometry This entry contributed by Todd Rowland Algebraic geometry is the study of geometries that come from algebra, in particular, from rings . In classical algebraic geometry , the algebra is the ring of polynomials , and the geometry is the set of zeros of polynomials, called an algebraic variety . For instance, the unit circle is the set of zeros of and is an algebraic variety , as are all of the conic sections In the twentieth century, it was discovered that the basic ideas of classical algebraic geometry can be applied to any commutative ring with a unit, such as the integers . The geometry of such a ring is determined by its algebraic structure, in particular its prime ideals . Grothendieck defined schemes as the basic geometric objects, which have the same relationship to the geometry of a ring as a manifold to a coordinate chart . The language of category theory evolved at around the same time, largely in response to the needs of the increasing abstraction in algebraic geometry. As a consequence, algebraic geometry became very useful in other areas of mathematics, most notably in

13. Sundry Algebraic Geometry And Commutative Algebra Sites A list of personal home pages.Category Science Math Geometry algebraic geometry......I have compiled this list from a number of sources; if you know of addresses (yourown or others) involving algebraic geometry or Commutative Algebra that I http://www.math.unl.edu/~bharbour/alggeom.html

I have compiled this list from a number of sources; if you know of addresses (your own or others) involving Algebraic Geometry or Commutative Algebra that I could include, please send me a note! Paolo Aluffi Kevin Coombes Duke archive Brian Harbourne ... Mika Seppala Mail Comments to: bharbourne@unl.edu

14. MSRI - Henri Gillet Slides in multimedia format from a lecture by Henri Gillet at MSRI.Category Science Math Geometry algebraic geometry...... http://www.msri.org/publications/ln/msri/1998/mtf/gillet/1/

15. Topological Aspects Of Real Algebraic Geometry Topological Aspects of Real algebraic geometry. Introductory Workshop in TopologicalAspects of Real algebraic geometry January 12, 2004 to January 16, 2004. http://www.msri.org/calendar/programs/ProgramInfo/120/show_program

Calendar Topological Aspects of Real Algebraic Geometry January 2, 2004 to May 14, 2004 at the Mathematical Sciences Research Institute, Berkeley, California Organized by: Selman Akbulut Grisha Mikhalkin Victoria Powers Boris Shapiro ... Frank Sottile (chair), and Oleg Viro Real algebraic geometry the geometry of varieties defined by systems of real polynomial equations is a classical subject presently encompassing many distinct lines of inquiry. This program will cover modern developments in real algebraic geometry and its applications emphasizing topological aspects of this subject and its relations to other fields of mathematics. These relations arise as real algebraic varieties appear naturally in various mathematical contexts and, in particular, in applied mathematics, and there continue to be important interactions with these subjects. (One interaction with solving equations.) Besides the traditional directions of topological classification of real algebraic varieties, we mean to focus on enumerative problems and relations to convex geometry via the theory of amoebas and tropical geometry. This will include many recent and notable advances in real algebraic geometry, as well as some of its most important open problems. Of particular emphasis will be the following topics. Real algebraic curves. (The pictures below are of two constructions of real plane curves exploiting convexity.)

16. ALGEBRAIC GEOMETRY algebraic geometry by Daniel Bump (Stanford University) This is a graduateleveltext on algebraic geometry that provides a quick and fully self-contained http://www.worldscientific.com/books/mathematics/3873.html

Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Keyword Author Concept ISBN Series New Titles Editor's Choice Bestsellers Book Series ... Join Our Mailing List ALGEBRAIC GEOMETRY by Daniel Bump (Stanford University) This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann–Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves. Contents: Affine Algebraic Sets and Varieties The Extension Theorem Maps of Affine Varieties Dimensions and Products Local Algebra Properties of Affine Varieties Varieties Complete Nonsingular Curves Ramification Completions Differentials and Residues The Riemann–Roch Theorem Elliptic Curves and Abelian Varieties The Zeta Function of a Curve Readership: Graduate students in mathematics.

17. Algebraic Geometry, Commutative Algebra And Combinatorics -- Erice 2001, NATO Ad Exterior Algebra Methods and Other New Directions. Erice, Sicily, Italy; 9 15 September 2001.Category Science Math Events Past Events......The workshop in Erice will address a wide range of new developments in classicalalgebraic geometry such as curves and their moduli, surfaces, higher http://www.math.sunysb.edu/~sorin/Erice-2001/

Event photos The workshop in Erice will address a wide range of new developments in classical Algebraic Geometry such as curves and their moduli, surfaces, higher dimensional varieties, vector bundles, and toric varieties. A special focus will be on exterior algebra methods which have recently grown in importance in Algebraic Geometry, Commutative Algebra, and Combinatorics, and their computational aspects (Bernstein-Gel'fand-Gel'fand correspondence, Beilinson monad, theory of Chow forms and resultants, algebraic shifting, free resolutions over the exterior algebra, linear syzygies, hyperplane arrangements, ...) Organizing Committee: David Eisenbud Lucian Badescu Sorin Popescu and Alfio Ragusa Speakers (tentative): The following people have responded positively to our invitation: Sponsors: NATO Scientific Affairs Division EAGER: European Algebraic Geometry Research Training Network and the University of Catania , Sicily. Registration: The cost of staying at the Ettore Majorana Centre will be approximately $80 per night (lodging/meals/transfer from/to the airport/1/2 day trip included), and there will be a fee of $100 for the social events. We will be able to offer financial assistance to some of the participants, particularly to younger mathematicians and speakers.

18. Algebraic Geometry Authors/titles Recent Submissions algebraic geometry. Authors and titles for recent submissions. American Math.Soc Subjclass Number Theory; algebraic geometry MSC-class 11G18; 14G35 http://arxiv.org/list/math.AG/recent

Algebraic Geometry Authors and titles for recent submissions Tue, 18 Mar 2003 Fri, 14 Mar 2003 Thu, 13 Mar 2003 Wed, 12 Mar 2003 ... Tue, 11 Mar 2003 Tue, 18 Mar 2003 math.AT/0303207 abs ps pdf other Title: Combinatorial classes on the moduli space of curves are tautological Authors: Gabriele Mondello Comments: 25 pages, 2 figures (xypic), LaTeX2e Subj-class: Algebraic Topology; Algebraic Geometry MSC-class: math.AC/0303200 abs ps pdf other Title: Valuations, Deformations, and Toric Geometry Authors: Bernard Teissier Subj-class: Commutative Algebra; Algebraic Geometry MSC-class: math.AG/0303210 abs ps pdf other Title: On Shokurov's Log Flips: The 3-dimensional Case Authors: Caucher Birkar Comments: 12 pages Subj-class: Algebraic Geometry math.AG/0303209 abs ps pdf other Title: A non-commutative BGG correspondence Authors: Peter Jorgensen Comments: 21 pages Subj-class: Algebraic Geometry; Rings and Algebras; Representation Theory MSC-class: math.AG/0303208 abs ps pdf other Title: Toric degeneration of Schubert varieties and Gel'fandCetlin polytopes Authors: Mikhail Kogan Ezra Miller Comments: 15 pages Subj-class: Algebraic Geometry math.AG/0303206

19. Algebraic Geometry Authors/titles "new.AG" algebraic geometry. To appear in Journal of Differential Geometry SubjclassDifferential Geometry; algebraic geometry; Symplectic Geometry http://arxiv.org/list/math.AG/new

Algebraic Geometry new abstracts, Tue, 18 Mar 03 01:02:22 GMT math.AG/0303189 abs ps pdf other Title: Log-terminal singularities and vanishing theorems Authors: Hans Schoutens Subj-class: Algebraic Geometry; Commutative Algebra; Rings and Algebras MSC-class: math.AG/0303196 abs ps pdf other Title: Irregular manifolds with a canonical linear system, composite with a pencil Authors: Jin-Xing Cai (Beijing), Eckart Viehweg (Essen) Comments: 11 pages, AMSLaTeX Subj-class: Algebraic Geometry; Complex Variables MSC-class: 14J10 (Primary); 14J30, 14J40 (Secondary) Let X be a complex projective n-dimensional manifold of general type, whose canonical system is composite with a pencil. If the Albanese map is generically finite, but not surjective, or if the irregularity is strictly larger than n and the image of X in its Albanese variety of Kodaira dimension one, then the geometric genus of a general fibre of the canonical map is one and the latter factors through the Albanese map. The last part of this result holds true for any threefold with irregularity 5 or larger. math.AG/0303198

20. Using Algebraic Geometry Using algebraic geometry Graduate Texts in Mathematics Volume 185 SpringerVerlag,1998. by. David A. Cox, Amherst College John B. Little http://www.cs.amherst.edu/~dac/uag.html

Using Algebraic Geometry Graduate Texts in Mathematics Volume 185 Springer-Verlag by David A. Cox, Amherst College John B. Little, College of the Holy Cross Don O'Shea, Mount Holyoke College What's in the Book For more information about the book, see the publications page of John Little Typographical Errors A list of typographical errors is available for the first printing of Using Algebraic Geometry TeX source or postscript Note on Maple The Maple code for Using Algebraic Geometry was written for Releases 3 and 4 of Maple V. Some of the code in the text uses commands from the grobner package, such as "gbasis" and "finite". In Release 5 of Maple V, the grobner package has been replaced by an updated version, now called the Groebner package. In the new version, some commands (such as "gbasis") have a different syntax, while other (such as "finite") have different names. Hence, the Maple code in the text will need to be modified if a reader wants to run it under Release 5. We hope in the next printing of Using Algebraic Geometry to update the Maple code so that it is consistent with the Groebner package. Until that time, we note that Release 5 of Maple V also contains the original

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