[PDF] Quadratic Forms Linear Algebraic Groups And Cohomology eBook

Author : Skip Garibaldi
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 40,84 MB
Release : 2010-07-16
Category : Mathematics
ISBN : 1441962115

GET BOOK

Developments in Mathematics is a book series devoted to all areas of mathematics, pure and applied. The series emphasizes research monographs describing the latest advances. Edited volumes that focus on areas that have seen dramatic progress, or are of special interest, are encouraged as well.

Author : Ricardo Baeza
Publisher : American Mathematical Soc.
Page : 424 pages
File Size : 37,5 MB
Release : 2009-08-14
Category : Mathematics
ISBN : 0821846485

GET BOOK

This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007. The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.

Author : McMaster University
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 25,67 MB
Release : 1984
Category : Mathematics
ISBN : 9780821860083

GET BOOK

Contains the proceedings of the 1983 Seminar on Quadratic and Hermitian Forms held at McMaster University, July 1983. Between 1945 and 1965, most of the work in quadratic (and hermitian) forms took place in arithmetic theory (M Eichler, M Kneser, O T O'Meara).

Author : A. Weil
Publisher : Springer Science & Business Media
Page : 137 pages
File Size : 38,28 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468491563

GET BOOK

This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L. Siegel’s work on quadratic forms. Serving as an introduction to the subject, these notes may also provide stimulation for further research.

Author : Richard S. Elman
Publisher : American Mathematical Soc.
Page : 456 pages
File Size : 18,23 MB
Release : 2008-07-15
Category : Mathematics
ISBN : 9780821873229

GET BOOK

This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.

Author : Vladimir Platonov
Publisher : Academic Press
Page : 629 pages
File Size : 39,59 MB
Release : 1993-12-07
Category : Mathematics
ISBN : 0080874592

GET BOOK

This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.

Author : Eva Bayer-Fluckiger
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 48,98 MB
Release : 2000
Category : Mathematics
ISBN : 0821827790

GET BOOK

This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.

Author : V. E. Voskresenskii
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 13,40 MB
Release : 2011-10-06
Category : Mathematics
ISBN : 0821872885

GET BOOK

Since the late 1960s, methods of birational geometry have been used successfully in the theory of linear algebraic groups, especially in arithmetic problems. This book--which can be viewed as a significant revision of the author's book, Algebraic Tori (Nauka, Moscow, 1977)--studies birational properties of linear algebraic groups focusing on arithmetic applications. The main topics are forms and Galois cohomology, the Picard group and the Brauer group, birational geometry of algebraic tori, arithmetic of algebraic groups, Tamagawa numbers, $R$-equivalence, projective toric varieties, invariants of finite transformation groups, and index-formulas. Results and applications are recent. There is an extensive bibliography with additional comments that can serve as a guide for further reading.