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arXiv · 1305.0345

Gepner point and strong Bogomolov-Gieseker inequality for quintic 3-folds

Yukinobu Toda
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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.

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Yukinobu Toda. 2013-05-07. Gepner point and strong Bogomolov-Gieseker inequality for quintic 3-folds. https://arxiv.org/abs/1305.0345

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