Noncommutative homological projective duality

被引：12
|
作者：
Perry, Alexander [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
ADVANCES IN MATHEMATICS | 2019年 / 350卷
关键词：
Derived category; Semiorthogonal decomposition; Projective duality; Noncommutative algebraic geometry; INTEGRAL-TRANSFORMS;
D O I：
10.1016/j.aim.2019.04.052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalize Kuznetsov's theory of homological projective duality to the setting of noncommutative algebraic geometry. Simultaneously, we develop the theory over general base schemes, and remove the usual smoothness, properness, and transversality hypotheses. (C) 2019 Elsevier Inc. All rights reserved.
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页码：877 / 972
页数：96
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