志村品种潜在的优良还原位点

IF 0.8 Q2 MATHEMATICS
N. Imai, Yoichi Mieda
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引用次数: 2

摘要

在本文中,我们给出了一个Shimura变量的潜在好的约化轨迹的概念。它由一些点组成,这些点应该与动机有关,在某种意义上具有潜在的良好还原。我们证明了这种基因座的存在对于一个Shimura的前abel型变种。进一步,我们构造了一个与Shimura前先验类型相关的进元空间的分区,它有望描述动机的退化。利用这一划分,我们证明了潜在好的约化轨迹的上同构与一个Shimura变种的上同构直至非超尖部。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Potentially good reduction loci of Shimura varieties
In this paper, we give a notion of the potentially good reduction locus of a Shimura variety. It consists of the points which should be related with motives having potentially good reductions in some sense. We show the existence of such locus for a Shimura variety of preabelian type. Further, we construct a partition of the adic space associated to a Shimura variety of preabelian type, which is expected to describe degenerations of motives. Using this partition, we prove that the cohomology of the potentially good reduction locus is isomorphic to the cohomology of a Shimura variety up to non-supercuspidal parts.
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来源期刊
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
12
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