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Izv. RAN. Ser. Mat., 2019, Volume 83, Issue 3, Pages 127–132 (Mi izv8825)  

Embedding derived categories of Enriques surfaces in derived categories of Fano varieties

A. G. Kuznetsovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Междисциплинарный научный центр Понселе, Независимый Московский Университет
c Laboratory of algebraic geometry and its applications, Higher School of Economics, Moscow

Abstract: We show that the bounded derived category of coherent sheaves on a general Enriques surface can be realized as a semi-orthogonal component in the derived category of a smooth Fano variety with diagonal Hodge diamond.

Keywords: derived category of coherent sheaves, Fano variety, Enriques surface.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 5-100
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS-18-01
This work was partially supported by the HSE University Basic Research Program, Russian Academic Excellence Project ‘5-100’ and the programme of the Presidium of the Russian Academy of Sciences 01 ‘Fundamental mathematics and its applications’ under grant PRAS-18-01.


DOI: https://doi.org/10.4213/im8825

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English version:
Izvestiya: Mathematics, 2019, 83:3, 534–539

Bibliographic databases:

UDC: 512.7
MSC: 14F05, 13D09, 14J45, 14J28
Received: 15.06.2018
Revised: 26.09.2018

Citation: A. G. Kuznetsov, “Embedding derived categories of Enriques surfaces in derived categories of Fano varieties”, Izv. RAN. Ser. Mat., 83:3 (2019), 127–132; Izv. Math., 83:3 (2019), 534–539

Citation in format AMSBIB
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  • http://mi.mathnet.ru/eng/izv/v83/i3/p127

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  • Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya Izvestiya: Mathematics
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