Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor

被引：2

作者：

Pertusi, Laura ^{[1
]}

Robinett, Ethan ^{[2
]}

机构：

[1] Univ Milan, Dipartimento Matemat F Enriques, Milan, Italy

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA USA

来源：

MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 07期

关键词：

Gushel-Mukai varieties; stability conditions; semiorthogonal decompositions; triangulated categories; MODULI SPACES; STABLE OBJECTS; CATEGORIES;

D O I：

10.1002/mana.202200010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the stability conditions on the Kuznetsov component of a Gushel- Mukai threefold, constructed by Bayer, Lahoz, Macri and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL(2)(+) (III). As application, we construct stability conditions on the Kuznetsov component of special Gushel-Mukai fourfolds.

引用

页码：2975 / 3002

页数：28

共 7 条

[1] Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties
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[2] Categorical Torelli theorems for Gushel-Mukai threefolds
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[4] Fourier Mukai transforms and Bridgeland stability conditions on abelian threefolds
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[5] STABILITY CONDITIONS ON KUZNETSOV COMPONENTS
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[6] Serre-invariant stability conditions and Ulrich bundles on cubic threefolds
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EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2023, 7
[7] Fourier-Mukai transforms and Bridgeland stability conditions on abelian threefolds II
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Piyaratne, Dulip
INTERNATIONAL JOURNAL OF MATHEMATICS, 2016, 27 (01)

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