Quintic threefolds and Fano elevenfolds

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Title: Quintic threefolds and Fano elevenfolds
Authors: Segal, E
Thomas, RP
Item Type: Journal Article
Abstract: The derived category of coherent sheaves on a general quintic threefold is a central object in mirror symmetry. We show that it can be embedded into the derived category of a certain Fano elevenfold. Our proof also generates related examples in different dimensions.
Issue Date: 1-Oct-2018
Date of Acceptance: 17-Nov-2015
URI: http://hdl.handle.net/10044/1/30052
DOI: https://dx.doi.org/10.1515/crelle-2015-0108
ISSN: 1435-5345
Publisher: De Gruyter
Start Page: 245
End Page: 259
Journal / Book Title: Journal für die reine und angewandte Mathematik
Volume: 2018
Issue: 743
Copyright Statement: © 2018 Walter de Gruyter GmbH, Berlin/Boston.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/G06170X/1
Keywords: Science & Technology
Physical Sciences
Mathematics
math.AG
math.AG
hep-th
14F05, 14J33
math.AG
math.AG
hep-th
14F05, 14J33
0101 Pure Mathematics
General Mathematics
Notes: V1: 12 pages. V2: added reference to work of Iliev and Manivel. V3: persistent sign error corrected. Other minor changes following referee's suggestions. To appear in Crelle
Publication Status: Published
Online Publication Date: 2016-03-02
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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