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VOL. 74 | 2017 Gepner point and strong Bogomolov-Gieseker inequality for quintic 3-folds
Yukinobu Toda

Editor(s) Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama

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

Rights: Copyright © 2017 Mathematical Society of Japan

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