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.
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页码：1 / 9
页数：9
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