Slopes of $F$-isocrystals over abelian varieties

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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