Author : Vladimir Leonidovich Popov
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 32,94 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662056526
The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.
Author : Wolfgang Lück
Publisher : Springer
Page : 455 pages
File Size : 28,37 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540468277
The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.
Author : A.N. Parshin
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 13,70 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 366203073X
Two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory, by well-known experts in the fields. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.
Author : G. Kempf
Publisher : Cambridge University Press
Page : 180 pages
File Size : 15,58 MB
Release : 1993-09-09
Category : Mathematics
ISBN : 9780521426138
An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.
Author : Tammo tom Dieck
Publisher : Walter de Gruyter
Page : 325 pages
File Size : 17,30 MB
Release : 2011-04-20
Category : Mathematics
ISBN : 3110858371
“This book is a jewel – it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.” Prof. Günter M. Ziegler, TU Berlin
Author : Ėrnest Borisovich Vinberg
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 44,69 MB
Release : 2005
Category : Computers
ISBN : 9780821837337
This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.
Author : Armand Borel
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 25,89 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461209412
This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.
Author : Thomas Dedieu
Publisher : Springer Nature
Page : 421 pages
File Size : 11,93 MB
Release : 2023-04-14
Category : Mathematics
ISBN : 303111938X
This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics. It presents original research as well as surveys, both providing a valuable overview of the current state of the art of the covered topics and reflecting the versatility of the scientific interests of Ciro Ciliberto.
Author : Bjorn Poonen
Publisher : American Mathematical Soc.
Page : 358 pages
File Size : 12,78 MB
Release : 2017-12-13
Category : Mathematics
ISBN : 1470437732
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere.
Author : William Fulton
Publisher :
Page : 120 pages
File Size : 27,99 MB
Release : 2008
Category : Mathematics
ISBN :
The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.
