Derived categories of Artin–Mumford double solids

Shinobu Hosono; Hiromichi Takagi

doi:10.1215/21562261-2019-0036

Abstract

We consider the derived category of an Artin–Mumford quartic double solid blown up at $10$ ordinary double points. We show that it has a semiorthogonal decomposition containing the derived category of the Enriques surface of a Reye congruence. This answers affirmatively a conjecture by Ingalls and Kuznetsov.

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Shinobu Hosono. Hiromichi Takagi. "Derived categories of Artin–Mumford double solids." Kyoto J. Math. 60 (1) 107 - 177, April 2020. https://doi.org/10.1215/21562261-2019-0036

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Received: 30 March 2016; Revised: 17 March 2017; Accepted: 20 September 2017; Published: April 2020

First available in Project Euclid: 5 December 2019

zbMATH: 07194830

MathSciNet: MR4065183

Digital Object Identifier: 10.1215/21562261-2019-0036

Subjects:

Primary: 14F05

Secondary: 14J28 , 14J45

Keywords: Artin–Mumford double solid , Enriques surface , homological projective duality , Reye congruence

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