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arXiv · 2601.08627

A complex analytic approach to orbifold Chern classes on singular varieties and its applications

Henri Guenancia·Mihai Păun
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Abstract

In this article, we prove the orbifold version of the Bogomolov-Gieseker inequality for stable $\mathbb Q$-sheaves on K\"ahler varieties, generalizing our earlier work \cite{GP25} in dimension three. We also provide a characterization of the equality case, a new purely analytical proof of the numerical characterization of complex torus quotients as well as a novel, complex analytic interpretation of the second orbifold Chern class associated to a $\mathbb Q$-sheaf.

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BibTeXRIS

Henri Guenancia, Mihai Păun. 2026-01-13. A complex analytic approach to orbifold Chern classes on singular varieties and its applications. https://arxiv.org/abs/2601.08627

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