A refined derived Torelli theorem for Enriques surfaces

Chunyi Li; Howard Nuer; Paolo Stellari; Xiaolei Zhao

doi:10.1007/s00208-020-02113-2

A refined derived Torelli theorem for Enriques surfaces

Chunyi Li, Howard Nuer, Paolo Stellari, Xiaolei Zhao

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof of a conjecture by Ingalls and Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic double solids and of the associated Enriques surfaces.

Original language	English
Pages (from-to)	1475-1505
Number of pages	31
Journal	Mathematische Annalen
Volume	379
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-020-02113-2
State	Published - Apr 2021
Externally published	Yes

Keywords

14F05
14J28
18E30

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-020-02113-2

Cite this

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abstract = "We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof of a conjecture by Ingalls and Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic double solids and of the associated Enriques surfaces.",

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doi = "10.1007/s00208-020-02113-2",

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AU - Stellari, Paolo

AU - Zhao, Xiaolei

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N2 - We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof of a conjecture by Ingalls and Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic double solids and of the associated Enriques surfaces.

AB - We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof of a conjecture by Ingalls and Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic double solids and of the associated Enriques surfaces.

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KW - 18E30

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DO - 10.1007/s00208-020-02113-2

M3 - مقالة

SN - 0025-5831

VL - 379

SP - 1475

EP - 1505

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

A refined derived Torelli theorem for Enriques surfaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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