STABILITY CONDITIONS ON KUZNETSOV COMPONENTS

被引：9

作者：

Bayer, Arend ^{[1
,2
]}

Lahoz, Marti ^{[3
]}

Macri, Emanuele ^{[4
]}

Stellari, Paolo ^{[5
]}

机构：

[1] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland

[2] Univ Edinburgh, Maxwell Inst, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland

[3] Univ Barcelona, Dept Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, Spain

[4] Univ Paris Saclay, CNRS, Lab Math Orsay, Rue Michel Magat,Bat 307, F-91405 Orsay, France

[5] Univ Milan, Dipartimento Matemat F Enriques, Via Cesare Saldini 50, I-20133 Milan, Italy

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2023年 / 56卷 / 02期

关键词：

MODULI SPACES; VECTOR-BUNDLES; TORELLI THEOREM; CATEGORIES; K3; SHEAVES; THREEFOLDS; INTERSECTIONS; INVARIANTS; FIBRATIONS;

D O I：

10.24033/asens.2539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

- We introduce a general method to induce Bridgeland stability conditions on semiorthogonal components of triangulated categories. In particular, we prove the existence of Bridgeland stability conditions on the Kuznetsov component of the derived category of Fano three-folds and of cubic fourfolds. As an application, in the appendix, written jointly with Xiaolei Zhao, we give a variant of the proof of the Torelli theorem for cubic fourfolds by Huybrechts and Rennemo.

引用

页码：517 / 570

页数：56

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