On the structure of a log smooth pair in the equality case of the Bogomolov-Gieseker inequality

Abstract

We study the structure of a log smooth pair when the equality holds in the Bogomolov-Gieseker inequality for the logarithmic tangent bundle and this bundle is semistable with respect to some ample divisor. We also study the case of the canonical extension sheaf.

14pages, v3: completely revised version, to appear in Annales de l'Institut Fourier

References in corpus (4)

• Projectively flat KLT varieties
• Projective klt pairs with nef anti-canonical divisor
• Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor
• A characterization of projective spaces from the Mori theoretic viewpoint