Quintic threefolds and Fano elevenfolds
File(s)1410.6829v3.pdf (233.04 KB)
Accepted version
Author(s)
Segal, E
Thomas, RP
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.
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.
Date Issued
2018-10-01
Date Acceptance
2015-11-17
Citation
Journal für die reine und angewandte Mathematik, 2018, 2018 (743), pp.245-259
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
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/G06170X/1
Subjects
math.AG
math.AG
hep-th
14F05, 14J33
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
Date Publish Online
2016-03-02