D'Addezio, Marco (2021) Slopes of $F$-isocrystals over abelian varieties. MPIM Preprint Series 2021 (2).
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Abstract
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.
| Item Type: | MPIM Preprint |
|---|---|
| Subjects: | 0 General / foundations > 00-XX General |
| Divisions: | Research > Preprints |
| Depositing User: | Andrea Kohlhuber |
| Date Deposited: | 11 Feb 2021 11:05 |
| Last Modified: | 11 Feb 2021 11:05 |
| URI: | https://archive.mpim-bonn.mpg.de/id/eprint/4195 |
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