Abstract
We propose a conjectural stronger version of Bogomolov-Gieseker inequality for stable sheaves on quintic 3-folds. Our conjecture is derived from an attempt to construct a Bridgeland stability condition on graded matrix factorizations, which should correspond to the Gepner point via mirror symmetry and Orlov equivalence. We prove our conjecture in the rank two case.
Information
Published: 1 January 2017
First available in Project Euclid: 23 October 2018
zbMATH: 1388.14064
MathSciNet: MR3791223
Digital Object Identifier: 10.2969/aspm/07410381
Subjects:
Primary:
14F05
Keywords:
Bogomolov-Gieseker inequality
,
matrix factorizations
,
stability conditions
Rights: Copyright © 2017 Mathematical Society of Japan
