Semiorthogonal decompositions in algebraic geometry

被引：0
|
作者：
Kuznetsov, Alexander [1 ,2 ,3 ]
机构：
[1] Steklov Math Inst, 8 Gubkin Str, Moscow 119991, Russia
[2] Independent Univ Moscow, Poncelet Lab, Moscow, Russia
[3] SU HSE, Lab Algebra Geometry, Moscow, Russia
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II | 2014年
关键词：
Semiorthogonal decompositions; exceptional collections; Lefschetz decompositions; homological projective duality; categorical resolutions of singularities; Fano varieties; EXCEPTIONAL COLLECTIONS; VECTOR-BUNDLES; COHERENT SHEAVES; CATEGORIES; GRASSMANNIANS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this review we discuss what is known about semiorthogonal decompositions of derived categories of algebraic varieties. We review existing constructions, especially the homological projective duality approach, and discuss some related issues such as categorical resolutions of singularities.
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页码：635 / 660
页数：26
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