On the Bogomolov–Gieseker Inequality in Positive Characteristic
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Publication:6154922
DOI10.1093/IMRN/RNAC260arXiv2008.09800OpenAlexW4297091668MaRDI QIDQ6154922
Publication date: 16 February 2024
Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/2008.09800
Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Surfaces of general type (14J29) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)
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