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arXiv · 2103.08779

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

Masataka Iwai
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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.

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Masataka Iwai. 2021-03-16. On the structure of a log smooth pair in the equality case of the Bogomolov-Gieseker inequality. https://arxiv.org/abs/2103.08779

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