牛顿地层中的产物结构较好地还原了霍奇型的志村变种

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2019-07-11 DOI:10.1090/JAG/732

Paul Hamacher

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引用次数: 6

摘要

我们将Mantovan的概积结构推广到在p p处具有超特殊水平结构的Hodge型的Shimura变体，并推导出Newton地层的完备性与中心叶和Rapoport-Zink空间的积的完备性是局部同构的。概积公式可以推广得到Caraiani和Scholze对Hodge型的Shimura变种概积结构的推广的类似物。

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The product structure of Newton strata in the good reduction of Shimura varieties of Hodge type

We construct a generalisation of Mantovan’s almost product structure to Shimura varieties of Hodge type with hyperspecial level structure at p p and deduce that the perfection of the Newton strata are proétale locally isomorphic to the perfection of the product of a central leaf and a Rapoport-Zink space. The almost product formula can be extended to obtain an analogue of Caraiani and Scholze’s generalisation of the almost product structure for Shimura varieties of Hodge type.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.