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arxiv: 1305.0345 · v3 · pith:YNJJSFN5new · submitted 2013-05-02 · 🧮 math.AG · hep-th

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

classification 🧮 math.AG hep-th
keywords bogomolov-giesekerconjecturefoldsgepnerinequalitypointquinticattempt
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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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