Reconstruction of a variety from the derived category and groups of autoequivalences

被引：163

作者：

Bondal, A ^{[1
]}

Orlov, D

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow, Russia

[2] Univ Warwick, Coventry CV4 7AL, W Midlands, England

[3] Max Planck Inst Math, D-5300 Bonn, Germany

来源：

COMPOSITIO MATHEMATICA | 2001年 / 125卷 / 03期

关键词：

derived categories; coherent sheaves; autoequivalences; Serre functor;

D O I：

10.1023/A:1002470302976

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider smooth algebraic varieties with ample either canonical or anticanonical sheaf. We prove that such a variety is uniquely determined by its derived category of coherent sheaves. We also calculate the group of exact autoequivalences for these categories. The technics of ample sequences in Abelian categories is used.

引用

页码：327 / 344

页数：18

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