MARC状态：已编 文献类型：中文图书 浏览次数：24
- 题名/责任者:
- 代数几何:Fano簇.Ⅴ/(俄罗斯) 帕尔申（A.N.Parshin）,I.R.Shafarevich编著
- 出版发行项:
- 北京:科学出版社,2009
- ISBN及定价:
- 978-7-03-023489-6 精装/CNY58.00
- 载体形态项:
- 247页;26cm
- 其它题名:
- Fano簇
- 丛编项:
- 国外数学名著系列;46
- 个人责任者:
- 帕尔申 编著
- 个人责任者:
- Shafarevich I·R 编著
- 学科主题:
- 代数几何-英文
- 中图法分类号:
- O187
- 提要文摘附注:
- The aim of this survey， written by V. A. lskovskikh and Yu. G.Prokhorov， is to provide an exposition of the structure theory of Fano varieties， i.e. algebraic varieties with an ample anticanonical divisor.Such varieties naturally appear in the birational classification of varieties of negative Kodaira dimension， and they are very close to rational ones. This EMS volume covers different approaches to the classification of Fano varieties such as the classical Fanolskovskikh"double projection"method and its modifications，the vector bundles method due to S. Mukai， and the method of extremal rays. The authors discuss uniruledness and rational connectedness as well as recent progress in rationality problems of Fano varieties. The appendix contains tables of some classes of Fano varieties.This book will be very useful as a reference and research guide for researchers and graduate students in algebraic geometry.
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