Algebraic Groups and Their Birational Invariants

Algebraic Groups and Their Birational Invariants
Author :
Publisher : American Mathematical Soc.
Total Pages : 234
Release :
ISBN-10 : 9780821872888
ISBN-13 : 0821872885
Rating : 4/5 (88 Downloads)

Book Synopsis Algebraic Groups and Their Birational Invariants by : V. E. Voskresenskii

Download or read book Algebraic Groups and Their Birational Invariants written by V. E. Voskresenskii and published by American Mathematical Soc.. This book was released on 2011-10-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Algebraic Groups and Their Birational Invariants Related Books

Algebraic Groups and Their Birational Invariants
Language: en
Pages: 234
Authors: V. E. Voskresenskii
Categories: Mathematics
Type: BOOK - Published: 2011-10-06 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Since the late 1960s, methods of birational geometry have been used successfully in the theory of linear algebraic groups, especially in arithmetic problems. Th
Algebraic Groups
Language: en
Pages: 665
Authors: J. S. Milne
Categories: Mathematics
Type: BOOK - Published: 2017-09-21 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of alg
Multiplicative Invariant Theory
Language: en
Pages: 200
Authors: Martin Lorenz
Categories: Mathematics
Type: BOOK - Published: 2005-03-10 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present
Algebraic Groups and Number Theory
Language: en
Pages: 379
Authors: Vladimir Platonov
Categories: Mathematics
Type: BOOK - Published: 2023-08-31 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

The first volume of a two-volume book offering a comprehensive account of the arithmetic theory of algebraic groups.
Arithmetic Groups and Their Generalizations
Language: en
Pages: 282
Authors: Lizhen Ji
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n, \mathbf{Z})$. Yet, many applic