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On the Bogomolov-Gieseker inequality in positive characteristic

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arxiv 2008.09800 v2 pith:X4ADMVNM submitted 2020-08-22 math.AG

Naoki Koseki This is my paper · ORCID
classification math.AG
keywords characteristicinequalitypositivebogomolov-giesekerprojectivesmoothsurfacesbridgeland
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We prove a version of the Bogomolov-Gieseker inequality on smooth projective surfaces of general type in positive characteristic, which is stronger than the result by Langer when the ranks of vector bundles are sufficiently large. Our inequality enables us to construct Bridgeland stability conditions with full support property on all smooth projective surfaces in positive characteristic.

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  1. Moduli spaces on the Kuznetsov component of Fano threefolds of index 2

    math.AG 2019-08 conditional novelty 6.0 of 10

    For general quartic double solids, two varieties are isomorphic if and only if their Kuznetsov components are equivalent, without assuming the equivalence has Fourier-Mumford type.

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