Lectures on the structure of algebraic groups and geometric applications
著者
書誌事項
Lectures on the structure of algebraic groups and geometric applications
（CMI lecture series in mathematics, 1）
Hindustan Book Agency : Chennai Mathematical Institute, c2013
大学図書館所蔵 件 / 全12件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. [111]-117) and index
内容説明・目次
内容説明
This book originates from a series of 10 lectures given by Professor Michel Brion at the Chennai Mathematical Institute during January 2011. The book presents a theorem due to Chevalley on the structure of connected algebraic groups, over algebraically closed fields, as the starting point of various other structure results developed in the recent past. Chevalley's structure theorem states that any connected algebraic group over an algebraically closed field is an extension of an abelian variety by a connected affine algebraic group. This theorem forms the foundation for the classification of anti-affine groups which plays a central role in the development of the structure theory of homogeneous bundles over abelian varieties and for the classification of complete homogeneous varieties. All these results are presented in this book. The book begins with an overview of the results exposed, the proofs of which constitute the rest of the book. Various open questions also have been indicated in the course of the exposition.
This book assumes certain preliminary knowledge of linear algebraic groups, abelian varieties and algebraic geometry. The book is intended for graduate students and researchers in algebraic geometry.
目次
1 Overview 2 Proof of Chevalley's Theorem 3 Applications and developments 4 Complete homogeneous varieties 5 Anti-affine groups 6 Homogeneous vector bundles 7 Homogeneous principal bundles Bibliography Index
「Nielsen BookData」 より