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Author: Vladimir Leonidovich Popov
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 244
ISBN-13: 3662056526
DOWNLOAD EBOOKThe 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
Published: 2006-11-14
Total Pages: 455
ISBN-13: 3540468277
DOWNLOAD EBOOKThe 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: Tammo tom Dieck
Publisher: Walter de Gruyter
Published: 2011-04-20
Total Pages: 325
ISBN-13: 3110858371
DOWNLOAD EBOOK“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: A.N. Parshin
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 291
ISBN-13: 366203073X
DOWNLOAD EBOOKTwo 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: Ėrnest Borisovich Vinberg
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 284
ISBN-13: 9780821837337
DOWNLOAD EBOOKThis 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: G. Kempf
Publisher: Cambridge University Press
Published: 1993-09-09
Total Pages: 180
ISBN-13: 9780521426138
DOWNLOAD EBOOKAn introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.
Author: Thomas Dedieu
Publisher: Springer Nature
Published: 2023-04-14
Total Pages: 421
ISBN-13: 303111938X
DOWNLOAD EBOOKThis 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: Armand Borel
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 301
ISBN-13: 1461209412
DOWNLOAD EBOOKThis 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: J. S. Milne
Publisher: Cambridge University Press
Published: 2017-09-21
Total Pages: 665
ISBN-13: 1107167485
DOWNLOAD EBOOKComprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Author: Bjorn Poonen
Publisher: American Mathematical Soc.
Published: 2017-12-13
Total Pages: 358
ISBN-13: 1470437732
DOWNLOAD EBOOKThis 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.
