A complex analytic approach to orbifold Chern classes on singular varieties and its applications
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917199538552832 |
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| author | Guenancia, Henri Păun, Mihai |
| author_facet | Guenancia, Henri Păun, Mihai |
| contents | In this article, we prove the orbifold version of the Bogomolov-Gieseker inequality for stable $\mathbb Q$-sheaves on Kähler 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08627 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A complex analytic approach to orbifold Chern classes on singular varieties and its applications Guenancia, Henri Păun, Mihai Algebraic Geometry Complex Variables Differential Geometry In this article, we prove the orbifold version of the Bogomolov-Gieseker inequality for stable $\mathbb Q$-sheaves on Kähler 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. |
| title | A complex analytic approach to orbifold Chern classes on singular varieties and its applications |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2601.08627 |