학술논문

The Bogomolov-Gieseker-Koseki inequality on surfaces with canonical singularities in arbitrary characteristic
Document Type
Working Paper
Source
Subject
Mathematics - Algebraic Geometry
14J17, 14J60 (primary), 14E15, 14F06, 14F08 (secondary)
Language
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.
Comment: 13 pages. Comments welcome!