On a torsion analogue of the weight-monodromy conjecture

IF 0.9 3区 数学 Q2 MATHEMATICS Documenta Mathematica Pub Date : 2020-08-27 DOI:10.4171/dm/854
Kazuhiro Ito
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引用次数: 2

Abstract

We formulate and study a torsion analogue of the weight-monodromy conjecture for a proper smooth scheme over a non-archimedean local field. We prove it for proper smooth schemes over equal characteristic non-archimedean local fields, abelian varieties, surfaces, varieties uniformized by Drinfeld upper half spaces, and set-theoretic complete intersections in toric varieties. In the equal characteristic case, our methods rely on an ultraproduct variant of Weil II established by Cadoret.
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权单猜想的一个扭转类似
我们构造并研究了非阿基米德局部域上的适当光滑格式的权单猜想的扭转模拟。我们证明了在等特征非阿基米德局部域、阿贝尔变种、曲面、由Drinfeld上半空间均匀化的变种和环型变种中的集合论完全交上的适当光滑格式。在相同特征的情况下,我们的方法依赖于由Cadoret建立的Weil II的超产物变体。
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来源期刊
Documenta Mathematica
Documenta Mathematica 数学-数学
CiteScore
1.60
自引率
11.10%
发文量
0
审稿时长
>12 weeks
期刊介绍: DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.
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