Slopes of $F$-isocrystals over abelian varieties
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866910908544974848 |
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| author | D'Addezio, Marco |
| author_facet | D'Addezio, Marco |
| contents | We prove that an $F$-isocrystal over an abelian variety defined over a perfect field of positive characteristic has constant slopes. This recovers and extends a theorem of Tsuzuki for abelian varieties over finite fields. Our proof exploits the theory of monodromy groups of convergent isocrystals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_06257 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Slopes of $F$-isocrystals over abelian varieties D'Addezio, Marco Algebraic Geometry Number Theory 14F30 (Primary) 11G10, 14K05 (Secondary) We prove that an $F$-isocrystal over an abelian variety defined over a perfect field of positive characteristic has constant slopes. This recovers and extends a theorem of Tsuzuki for abelian varieties over finite fields. Our proof exploits the theory of monodromy groups of convergent isocrystals. |
| title | Slopes of $F$-isocrystals over abelian varieties |
| topic | Algebraic Geometry Number Theory 14F30 (Primary) 11G10, 14K05 (Secondary) |
| url | https://arxiv.org/abs/2101.06257 |