Orbifold Chern classes and Bogomolov-Gieseker inequalities
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912790968532992 |
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| author | Ou, Wenhao |
| author_facet | Ou, Wenhao |
| contents | Assume that $X$ is a compact complex analytic variety which has quotient singularities in codimension 2, and that $\mathcal{F}$ is a reflexive sheaf on $X$. Using orbifold modifications, we can define first and second homological Chern classes for $\mathcal{F}$. If in addition $X$ has a Kähler form $ω$ and $\mathcal{F}$ is $ω$-stable, then we deduce Bogomolov-Gieseker inequality on the orbifold Chern classes of $\mathcal{F}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orbifold Chern classes and Bogomolov-Gieseker inequalities Ou, Wenhao Algebraic Geometry Assume that $X$ is a compact complex analytic variety which has quotient singularities in codimension 2, and that $\mathcal{F}$ is a reflexive sheaf on $X$. Using orbifold modifications, we can define first and second homological Chern classes for $\mathcal{F}$. If in addition $X$ has a Kähler form $ω$ and $\mathcal{F}$ is $ω$-stable, then we deduce Bogomolov-Gieseker inequality on the orbifold Chern classes of $\mathcal{F}$. |
| title | Orbifold Chern classes and Bogomolov-Gieseker inequalities |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.22273 |