The Bogomolov-Gieseker-Koseki inequality on surfaces with canonical singularities in arbitrary characteristic

Howard Nuer; Alan Sorani

doi:10.1515/advgeom-2025-0008

The Bogomolov-Gieseker-Koseki inequality on surfaces with canonical singularities in arbitrary characteristic

Howard Nuer, Alan Sorani

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

This note generalizes the celebrated Bogomolov-Gieseker inequality for smooth projective surfaces over an algebraically closed field of characteristic zero to projective surfaces in arbitrary characteristic with canonical singularities. We also generalize to this context some classical applications of the Bogomolov-Gieseker inequality.

Original language	English
Pages (from-to)	227-240
Number of pages	14
Journal	Advances in Geometry
Volume	25
Issue number	2
DOIs	https://doi.org/10.1515/advgeom-2025-0008
State	Published - 1 Apr 2025

Keywords

Bogomolov-Gieseker inequality
Projective surface
singularity

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1515/advgeom-2025-0008

Cite this

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title = "The Bogomolov-Gieseker-Koseki inequality on surfaces with canonical singularities in arbitrary characteristic",

abstract = "This note generalizes the celebrated Bogomolov-Gieseker inequality for smooth projective surfaces over an algebraically closed field of characteristic zero to projective surfaces in arbitrary characteristic with canonical singularities. We also generalize to this context some classical applications of the Bogomolov-Gieseker inequality.",

keywords = "Bogomolov-Gieseker inequality, Projective surface, singularity",

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year = "2025",

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doi = "10.1515/advgeom-2025-0008",

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AU - Sorani, Alan

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N2 - This note generalizes the celebrated Bogomolov-Gieseker inequality for smooth projective surfaces over an algebraically closed field of characteristic zero to projective surfaces in arbitrary characteristic with canonical singularities. We also generalize to this context some classical applications of the Bogomolov-Gieseker inequality.

AB - This note generalizes the celebrated Bogomolov-Gieseker inequality for smooth projective surfaces over an algebraically closed field of characteristic zero to projective surfaces in arbitrary characteristic with canonical singularities. We also generalize to this context some classical applications of the Bogomolov-Gieseker inequality.

KW - Bogomolov-Gieseker inequality

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KW - singularity

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DO - 10.1515/advgeom-2025-0008

M3 - مقالة

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JO - Advances in Geometry

JF - Advances in Geometry

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ER -

The Bogomolov-Gieseker-Koseki inequality on surfaces with canonical singularities in arbitrary characteristic

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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