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Algebraic Geometry: more books (100)

Emerging Applications of Algebraic Geometry
Plane Algebraic Curves (Student Mathematical Library, V. 15) by Gerd Fischer, 2001-06-21
Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics) (v. 2) by Claire Voisin, 2008-02-04
Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs) by Kenji Ueno, 2003-06-20
Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (Graduate Texts in Mathematics) by Harold M. Edwards, 2000-01-14
Symplectic Geometry and Topology (Ias/Park City Mathematics) by Yakov Eliashberg and Lisa Traynor, 2006-02-01
Convex and Discrete Geometry (Grundlehren der mathematischen Wissenschaften) by Peter M. Gruber, 2010-11-02
The Many Facets of Geometry: A Tribute to Nigel Hitchin by Oscar Garcia-Prada, Jean Pierre Bourguignon, et all 2010-08-17
An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics) by Meinolf Geck, 2004-01-15
Introduction to algebraic geometry and algebraic groups, Volume 39 (North-Holland Mathematics Studies)
Algebraic Geometry: An Introduction to Birational Geometry of Algebraic Varieties (Graduate Texts in Mathematics, Vol. 76) by S. Iitaka, 1981-12-04
Stochastic and Integral Geometry (Probability and Its Applications) by Rolf Schneider, Wolfgang Weil, 2010-11-02
Geometry of Conics (Mathematical World) by A. V. Akopyan, A. A. Zaslavsky, 2007-12-13
A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May, 1999-09-01

lists with details

Surf - Home
visualization of real algebraic geometry.
http://surf.sourceforge.net/

Extractions: real algebraic geometry Home Download Documentation Gallery ... Screenshots surf is a tool to visualize some real algebraic geometry: plane algebraic curves, algebraic surfaces and hyperplane sections of surfaces. surf is script driven and has (optionally) a nifty GUI using the Gtk widget set. The algorithms should be stable enough not to be confused by curve/surface singularities in codimension greater than one and the degree of the surface or curve. This has been achieved quite a bit. We have drawn curves of degree up to 30 and surfaces of degree up to 20 successfully. However, there are examples of curves/surfaces of lower degree where surf fails to produce perfect images. This happens especially if the equation of the curve/surface is not reduced. Best results are achieved using reduced equations. On the other hand, surf displays the Fermat-curves accurately for degree up to 98. surf is free software distributed under the GNU General Public License (GPL). Go here to download surf or visit the SourceForge project page Tracker Bugs 1 open / 5 total
Frederik Vercauteren
University of Bristol. Algorithmic number theory and computational algebraic geometry; applications to cryptography.
http://www.cs.bris.ac.uk/~frederik/index.html

Extractions: E-mail: frederik@cs.bris.ac.uk F. Vercauteren, B. Preneel, J. Vandewalle. A Memory Efficient Version of Satoh's Algorithm. In Birgit Pfitzmann (Ed.) Advances in Cryptology - EUROCRYPT 2001, Lecture Notes in Computer Science 2045 Springer 2001, p. 1-13. S. Janssen, J. Thomas, W. Borremans, P. Gijsels, I. Verbauwhede, F. Vercauteren, B. Preneel, J. Vandewalle. Hardware/Software Co-design of an Elliptic Curve Public-key Cryptosystem. In Proceedings IEEE Workshop on Signal Processing Systems, SiPS-2001, Antwerp, Belgium, 2001, p. 209-216. J. Denef, F. Vercauteren.
MATHnetBASE: Mathematics Online
algebraic geometry and Number Theory. An Elementary Approach to Homological Algebra New as of 5/1/2004. Analytic Hilbert Modules New as of 2/3/2004.
http://www.mathnetbase.com/default.asp?id=471
Welcome To Francesco Baldassarri's Home Page
Universit© Louis Pasteur. Arithmetic algebraic geometry. Curriculum vitae, list of publications with some preprints.
http://www.math.unipd.it/~baldassa/

Extractions: Francesco Baldassarri is the Italian Coordinator for the European Project Arithmetic Algebraic Geometry, a consortium of 12 leading european Universities. (click on the map for more details about the partnership) The main themes of research of the network are: I. p -adic cohomology theory II. Rigid geometry and p -adic uniformization III. Automorphic forms and the Langlands programme IV. L -functions of motives and their special values V. Diophantine geometry European Coordinator:
Algebraic Geometry Group Activities
Projective algebraic geometry Group.
http://calvino.polito.it/~geometri/
Yuri Tschinkel
University of Illinois at Chicago. algebraic geometry, number theory and harmonic analysis.
http://www2.math.uic.edu/~yuri/
Home Page Of Gunther Cornelissen
University of Utrecht. Arithmetical algebraic geometry, in particular global function fields (moduliproblems, automorphic forms); non-archimedean uniformization, group actions in positive characteristic; diophantine sets.
http://www.math.uu.nl/people/cornelissen/
Algebraic Geometry School 2004
27th Autumn School in algebraic geometry. algebraic geometry and derived categories. Lukecin, Poland, September 19th September 25th, 2004.
http://www.mimuw.edu.pl/~jarekw/EAGER/announce04.html

Extractions: Teachers: Andrei Caldararu (Philadelphia, US) and Miles Reid (Warwick, UK) Program: An introduction to algebraic geometry featuring derived categories and some of their applications. A large fraction of the material should be accessible to beginning graduate students with the appropriate motivation. Plan of Caldararu's lectures: I will present a mild introduction to derived categories, attempting to avoid the technical details of their inner workings. Main topics to be covered will hopefully include Grothendieck-Serre duality, a description of the derived category of P^n (the Beilinson construction), the criterion of Mukai-Bondal-Orlov-Bridgeland for when an integral transform is an equivalence, equivalences of Fanos and general type varieties (a la Bondal-Orlov), Mukai's equivalence between the derived category of an abelian variety and that of its dual, and some topics connected to Hochschild homology and cohomology, maybe in connection with Kontsevich's Homological Mirror Symmetry conjecture.
Volume 60 "Algorithmic And Quantitative Real Algebraic Geometry"
VOLUME Sixty TITLE Algorithmic and Quantitative Real algebraic geometry EDITORS Saugata Basu and Laureano GonzalezVega. Ordering Information.
http://dimacs.rutgers.edu/Volumes/Vol60.html

Extractions: EDITORS: Saugata Basu and Laureano Gonzalez-Vega This volume may be obtained from the AMS or through bookstores in your area. To order through AMS contact the AMS Customer Services Department, P.O. Box 6248, Providence, Rhode Island 02940-6248 USA. For Visa, Mastercard, Discover, and American Express orders call 1-800-321-4AMS. You may also visit the AMS Bookstore and order directly from there. DIMACS does not distribute or sell these books. Algorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas of mathematics and computer science. The papers in this volume collectively span several different areas of current research. The articles are based on talks given at the DIMACS Workshop on "Algorithmic and Quantitative Aspects of Real Algebraic Geometry". Topics include deciding basic algebraic properties of real semi-algebraic sets, application of quantitative results in real algebraic geometry towards investigating the computational complexity of various problems, algorithmic and quantitative questions in real enumerative geometry, new approaches towards solving decision problems in semi-algebraic geometry, as well as computing algebraic certificates, and applications of real algebraic geometry to concrete problems arising in robotics and computer graphics. The book is intended for researchers interested in computational methods in algebra.
Ganith
The Ganith algebraic geometry Toolkit. GANITH is an algebraic geometry tookit, used for the computation and visualization of algebraic equations.
http://www.ticam.utexas.edu/CCV/projects/shastra/toolkits/ganith.html

Extractions: The Ganith Algebraic Geometry Toolkit GANITH is an algebraic geometry tookit, used for the computation and visualization of algebraic equations. It also provides the computational mathematics infrastructure for the Shastra toolkits. Example applications of this for geometric modeling and computer graphics are algebraic curve and surface display, curve-curve intersections, surface-surface intersections, global and local parameterizations, implicitization. GANITH also incorporates techniques for interpolation and least-squares approximation (multivariate data fitting) with algebraic curves and surfaces. The GANITH algebraic geometry toolkit manipulates arbitrary degree polynomials and power series.e It can be used to solve a system of algebraic equations Power series manipulations are used to generate piecewise rational pproximations to algebraic curves and surfaces. Arbitrary rational parametric surfaces can be displayed in GANITH, taking care of poles and base points. Animation facilities allow the visualization of entire families of algebraic curves and surfaces. Version 1 of GANITH is available from anonymous FTP at ftp.cs.purdue.edu in the file /pub/shastra/ganith-sun.tar.Z
Course Notes --- J.S. Milne
Course notes by J.S. Milne. Topics covered are group, fields and Galois, algebraic number, class field theories. Other areas discussed are modular functions and forms, elliptic curves, algebraic geometry, Etale Cohomology, and Abelian varieties. In HTML, PDF, PostScript and DVI formats.
http://www.jmilne.org/math/CourseNotes/

Extractions: Full notes as pdf (or dvi and ps) files for all the advanced course I taught between 1986 and 1999. Some of the notes give complete proofs (Group Theory, Fields and Galois Theory, Algebraic Number Theory, Class Field Theory, Algebraic Geometry), while others are more in the nature of introductory overviews to a topic. About the notes At last count, the notes included about 1350 pages. Errata: This is a list of errors and additional comments not yet incorporated into the files on the web, mainly contributed by readers. Group Theory
Macaulay
Macaulay is a computer algebra system for mathematical computations in algebraic geometry and commutative algebra. At its core is a carefully tuned implementation of Grobner basis methods for manipulating systems of polynomial equations.
http://www.math.columbia.edu/~bayer/Macaulay.html
Algebraic Geometry - Encyclopedia Article About Algebraic Geometry. Free Access,
encyclopedia article about algebraic geometry. algebraic geometry in Free online English dictionary, thesaurus and encyclopedia. algebraic geometry.
http://encyclopedia.thefreedictionary.com/algebraic geometry

Extractions: Dictionaries: General Computing Medical Legal Encyclopedia Word: Word Starts with Ends with Definition Algebraic geometry is a branch of mathematics Mathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of 'figures and numbers'. In the formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation; other views are described in Philosophy of mathematics. Mathematics might be seen as a simple extension of spoken and written languages, with an extremely precisely defined vocabulary and grammar, for the purpose of describing and exploring physical and conceptual relationships. Click the link for more information. which, as the name suggests, combines abstract algebra Abstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. The term "abstract algebra" is used to distinguish the field from "elementary algebra" or "high school algebra" which teaches the correct rules for manipulating formulas and algebraic expressions involving real and complex numbers. Historically, algebraic structures usually arose first in some other field of mathematics, were specified axiomatically, and were then studied in their own right in abstract algebra. Because of this, abstract algebra has numerous fruitful connections to all other branches of mathematics.
GESTA III
Symplectic and algebraic geometry. Universidad Aut³noma de Madrid, Spain; 1416 February 2002 . Spanish/English.
http://www.adi.uam.es/~vmunoz/gesta.html
MathGuide: Algebraic Geometry
MathGuide algebraic geometry (32 records). Results 120 21-32 1. Algebraic Surfaces. Subject Class, algebraic geometry. Source Type, Virtual Exhibitions.
http://www.mathguide.de/cgi-bin/ssgfi/anzeige.pl?db=math&sc=14
Computational Commutative And Non-Commutative Algebraic Geometry
Chisinau, Republic of Moldova. Last update Friday January 30, 2004, Visitors 1481, Webmaster.
http://www.math.md/nato-workshop/
Bruinier, Jan
Universit¤t zu K¶ln. Automorphic forms, number theory, and algebraic geometry. Research papers, preprints, and links.
http://www.mi.uni-koeln.de/~bruinier/
Michael TSFASMAN
Institute for Information Transmission Problems, Russian Academy of Sciences. algebraic geometry in relation to number theory (varieties over nonalgebraically closed fields, especially over finite fields and number fields, parallelism between the function field and number field case, curves, rational varieties, rational points and zero-cycles, elliptic curves and abelian varieties, towers of varieties and asymptotic theory); Number theory (global fields, zeta-functions); Error-correcting codes; Lattices and sphere packings
http://www.aha.ru/~tsfasman/
MFO
Translate this page Title Classical algebraic geometry. Organisers David Eisenbud, Berkeley Joe Harris, Cambridge Frank-Olaf Schreyer, Bayreuth. Date June 27th - July 3rd, 2004.
http://www.mfo.de/cgi-bin/tagungsdb?type=21&tnr=0427
Prof. J.H. Coates, FRS
University of Cambridge. Interests in number theory, arithmetical algebraic geometry, and Iwasawa theory.
http://www.dpmms.cam.ac.uk/site2002/People/coates_jh.html

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