Constructible sheaves on toric varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909342875254784 |
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| author | de Bruyn, Remy van Dobben |
| author_facet | de Bruyn, Remy van Dobben |
| contents | This paper gives an explicit computation of the category of constructible sheaves on a toric variety (with respect to the stratification by torus orbits). Over the complex numbers, this simplifies a description due to Braden and Lunts. The same computation is carried out for split toric varieties over an arbitrary field, for constructible étale sheaves whose restriction to each stratum is locally constant and tamely ramified. This gives the first explicit computation of an étale exodromy theorem in positive characteristic for a stratification over a partially ordered set of height greater than 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06280 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructible sheaves on toric varieties de Bruyn, Remy van Dobben Algebraic Geometry 14M25 (primary), 32S60, 14F35, 14F20, 14F06 (secondary) This paper gives an explicit computation of the category of constructible sheaves on a toric variety (with respect to the stratification by torus orbits). Over the complex numbers, this simplifies a description due to Braden and Lunts. The same computation is carried out for split toric varieties over an arbitrary field, for constructible étale sheaves whose restriction to each stratum is locally constant and tamely ramified. This gives the first explicit computation of an étale exodromy theorem in positive characteristic for a stratification over a partially ordered set of height greater than 1. |
| title | Constructible sheaves on toric varieties |
| topic | Algebraic Geometry 14M25 (primary), 32S60, 14F35, 14F20, 14F06 (secondary) |
| url | https://arxiv.org/abs/2410.06280 |