Minimal slope conjecture of F-isocrystals

被引：2

作者：

Tsuzuki, Nobuo ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Sci, Math Inst, Aoba Ku, Aramaki Aza Aoba 6-3, Sendai, Miyagi 9808578, Japan

来源：

INVENTIONES MATHEMATICAE | 2023年 / 231卷 / 01期

关键词：

SEMISTABLE REDUCTION; LOGARITHMIC GROWTH; RIGID COHOMOLOGY; FILTRATIONS; MONODROMY; THEOREM;

D O I：

10.1007/s00222-022-01146-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The minimal slope conjecture, which was proposed by K. S. Kedlaya, asserts that two irreducible overconvergent F-isocrystals on a smooth variety are isomorphic to each other if both minimal slope constitutions of slope filtrations are isomorphic to each other. We affirmatively solve the minimal slope conjecture for overconvergent F-isocrystals on curves and for overconvergent (Q) over bar (p)-F-isocrystals on smooth varieties over finite fields.

引用

页码：39 / 109

页数：71

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