Reconstruction and finiteness results for Fourier-Mukai partners

被引：8
|
作者：
Favero, David [1 ]
机构：
[1] Univ Vienna, Fac Math, Garnisongasse 3 O3-49A, A-1090 Vienna, Austria
来源：
ADVANCES IN MATHEMATICS | 2012年 / 230卷 / 4-6期
关键词：
Fourier-Mukai transform; Derived category; Coherent sheaves;
D O I：
10.1016/j.aim.2012.03.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop some methods for studying the Fourier-Mukai partners of an algebraic variety. As applications we prove that abelian varieties have finitely many Fourier-Mukai partners and that they are uniquely determined by their derived category of coherent D-modules. We also generalize a famous theorem due to Bondal and Orlov. (C) 2012 Elsevier Inc. All rights reserved.
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页码：1955 / 1971
页数：17
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