DERIVED CATEGORIES OF THE CAYLEY PLANE AND THE COADJOINT GRASSMANNIAN OF TYPE F

被引：2

作者：

Belmans, Pieter ^{[1
,2
]}

Kuznetsov, Alexander ^{[3
,4
]}

Smirnov, Maxim ^{[5
]}

机构：

[1] Univ Bonn, Inst Math, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Univ Antwerp, Dept Wiskunde, Middelheimlaan 1, B-2020 Antwerp, Belgium

[3] Russian Acad Sci, Steklov Math Inst, Algebra Geometry Sect, 8 Gubkin Str, Moscow 119991, Russia

[4] NRU HSE, Lab Algebra Geometry, Moscow, Russia

[5] Univ Augsburg, Inst Math, Univ Str 14, D-86159 Augsburg, Germany

来源：

TRANSFORMATION GROUPS | 2023年 / 28卷 / 01期

关键词：

EXCEPTIONAL COLLECTIONS;

D O I：

10.1007/s00031-021-09657-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the derived category of the Cayley plane, which is the cominuscule Grassmannian of Dynkin type E-6, a full Lefschetz exceptional collection was constructed by Faenzi and Manivel. A general hyperplane section of the Cayley plane is the coadjoint Grassmannian of Dynkin type F-4. We show that the restriction of the Faenzi-Manivel collection to such a hyperplane section gives a full Lefschetz exceptional collection, providing the first example of a full exceptional collection on a homogeneous variety of Dynkin type F.

引用

页码：9 / 34

页数：26

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