Author : Christopher D. Hacon
Publisher : Cambridge University Press
Page : 451 pages
File Size : 22,88 MB
Release : 2015-01-15
Category : Mathematics
ISBN : 110764755X
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author : C. Musili
Publisher : Springer
Page : 311 pages
File Size : 21,1 MB
Release : 2003-01-01
Category : Mathematics
ISBN : 9386279126
Contributed articles presented at the Conference, sponsored by National Science Foundation, USA [and others].
Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
Page : 757 pages
File Size : 19,49 MB
Release : 2007-10-11
Category : Mathematics
ISBN : 0817646132
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Author : M Droste
Publisher : CRC Press
Page : 516 pages
File Size : 43,82 MB
Release : 1998-01-29
Category : Mathematics
ISBN : 9789056991012
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 41,3 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475738498
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
Author : Kar Ping Shum
Publisher : World Scientific
Page : 531 pages
File Size : 35,22 MB
Release : 2003-07-07
Category : Mathematics
ISBN : 9814486787
This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by R Gonchidorazh, former vice-president of the Mongolian Republic in Ulaanbaatar. The topics covered at the conference included general algebras, semigroups, groups, rings, hopf algebras, modules, codes, languages, automation theory, graphs, fuzzy algebras and applications.
Author : Lucia Caporaso
Publisher : Cambridge University Press
Page : 437 pages
File Size : 11,60 MB
Release : 2012-03-19
Category : Mathematics
ISBN : 052176825X
This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Author : Yuri Tschinkel
Publisher : Springer Science & Business Media
Page : 700 pages
File Size : 25,42 MB
Release : 2010-04-11
Category : Mathematics
ISBN : 0817647473
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.
Author : Ulrich Görtz
Publisher : Springer Science & Business Media
Page : 622 pages
File Size : 21,16 MB
Release : 2010-08-06
Category : Mathematics
ISBN : 3834897221
This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.
Author : Hal Schenck
Publisher : Cambridge University Press
Page : 212 pages
File Size : 36,6 MB
Release : 2003-10-06
Category : Computers
ISBN : 9780521536509
The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and solve problems that were previously out of reach. Suitable for graduate students, the objective of this 2003 book is to bring advanced algebra to life with lots of examples. The first chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book focuses on three active areas of contemporary algebra: Homological Algebra (the snake lemma, long exact sequence inhomology, functors and derived functors (Tor and Ext), and double complexes); Algebraic Combinatorics and Algebraic Topology (simplicial complexes and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective space, Riemann-Roch, Cech cohomology, regularity).
