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On compact K\"ahler orbifold

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arxiv 2302.11914 v1 pith:WWSRV6NB submitted 2023-02-23 math.AG math.CV

Xiaojun Wu This is my paper · ORCID
classification math.AGmath.CV
keywords compactorbifoldahlerpartbrionbundlecommunicatedcomplex
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In this paper, we study compact complex orbifolds. In the first part, we shows the equivalence of two notions of compact K\"ahler orbifold. In the second part, we shows various versions of Demailly's regularisation theorems for compact orbifold and study the positivity of orbifold vector bundle. In the last section, we give a version of equivariant GAGA communicated to us by Brion.

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  1. The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors

    math.AG 2025-07 conditional novelty 7.0 of 10

    For projective klt varieties with big canonical or anticanonical divisor, the Miyaoka-Yau Chern class inequality holds when intersections are taken with the non-pluripolar product.

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