<電子ブック>
Cohomological and Geometric Approaches to Rationality Problems : New Perspectives / edited by Fedor Bogomolov, Yuri Tschinkel
(Progress in Mathematics. ISSN:2296505X ; 282)
版 | 1st ed. 2010. |
---|---|
出版者 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser |
出版年 | 2010 |
本文言語 | 英語 |
大きさ | X, 314 p. 47 illus : online resource |
著者標目 | Bogomolov, Fedor editor Tschinkel, Yuri editor SpringerLink (Online service) |
件 名 | LCSH:Algebraic geometry LCSH:Group theory LCSH:Topological groups LCSH:Lie groups FREE:Algebraic Geometry FREE:Group Theory and Generalizations FREE:Topological Groups and Lie Groups |
一般注記 | The Rationality of Certain Moduli Spaces of Curves of Genus 3 -- The Rationality of the Moduli Space of Curves of Genus 3 after P. Katsylo -- Unramified Cohomology of Finite Groups of Lie Type -- Sextic Double Solids -- Moduli Stacks of Vector Bundles on Curves and the King#x2013;Schofield Rationality Proof -- Noether#x2019;s Problem for Some -Groups -- Generalized Homological Mirror Symmetry and Rationality Questions -- The Bogomolov Multiplier of Finite Simple Groups -- Derived Categories of Cubic Fourfolds -- Fields of Invariants of Finite Linear Groups -- The Rationality Problem and Birational Rigidity Rationality problems link algebra to geometry. The difficulties involved depend on the transcendence degree over the ground field, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. These advances have led to many interdisciplinary applications of algebraic geometry. This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems. I. Bauer C. Böhning F. Bogomolov F. Catanese I. Cheltsov N. Hoffmann S.-J. Hu M.-C. Kang L. Katzarkov B. Kunyavskii A. Kuznetsov J. Park T. Petrov Yu. G. Prokhorov A.V. Pukhlikov Yu. Tschinkel HTTP:URL=https://doi.org/10.1007/978-0-8176-4934-0 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9780817649340 |
|
電子リソース |
|
EB00231232 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降