Slopes of F-isocrystals over abelian varieties

被引：0

作者：

D'Addezio, Marco ^{[1
]}

机构：

[1] Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, 4 Pl Jussieu,Case 247, F-75005 Paris, France

来源：

DOCUMENTA MATHEMATICA | 2023年 / 28卷

关键词：

F-isocrystal; slope filtration; abelian variety; COHOMOLOGY;

D O I：

10.4171/DM/910

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an F-isocrystal over an abelian variety defined over a perfect field of pos-itive 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 iso-crystals.

引用

页码：1 / 9

页数：9

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