Extension of adapted differentials on klt orbifolds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913586022973440 |
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| author | Núñez, Pedro |
| author_facet | Núñez, Pedro |
| contents | Given a geometric orbifold $(X,Δ)$ in the sense of Campana, adapted reflexive differentials with respect to this orbifold are defined on suitably ramified covers of $X$. We show that if the orbifold $(X,Δ)$ is klt, then any such reflexive differential form can be extended to a regular differential form on a resolution of singularities of the cover. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17268 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extension of adapted differentials on klt orbifolds Núñez, Pedro Algebraic Geometry Given a geometric orbifold $(X,Δ)$ in the sense of Campana, adapted reflexive differentials with respect to this orbifold are defined on suitably ramified covers of $X$. We show that if the orbifold $(X,Δ)$ is klt, then any such reflexive differential form can be extended to a regular differential form on a resolution of singularities of the cover. |
| title | Extension of adapted differentials on klt orbifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.17268 |