TILTING EXERCISES

被引：47

作者：

Beilinson, A. ^{[1
]}

Bezrukavnikov, R. ^{[2
]}

Mirkovic, I. ^{[3
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[3] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

来源：

MOSCOW MATHEMATICAL JOURNAL | 2004年 / 4卷 / 03期

关键词：

Tilting objects; perverse sheaves; Serre functor;

D O I：

10.17323/1609-4514-2004-4-3-547-557

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss tilting objects in categories of perverse sheaves smooth along some stratification. In case of the Schubert stratification we show that the Radon transform interchanges tilting, projective, and injective objects, and prove Kapranov's conjecture on the Serre functor.

引用

页码：547 / 557

页数：11

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