关于Ekedahl-Oort分层的几点评论

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2021-01-01 DOI:10.11650/tjm/201207

Chao Zhang

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引用次数: 1

摘要

我们通过比较两种不同的嵌套与第三种嵌套，研究了Ekedahl—Oort分层理论在Hodge型Shimura变体上的辛嵌套的独立性。主要研究结果如下:Ekedahl—Oort分层与辛嵌入的选择无关。在一定的合理假设下，Ekedahl—Oort分层对志村变异的形态具有一定的功能性。

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Some Remarks on Ekedahl–Oort Stratifications

We study independence of symplectic embeddings of the theory of Ekedahl--Oort stratifications on Shimura varieties of Hodge type, by comparing two different embeddings with a third one. The main results are as follows.1. The Ekedahl--Oort stratification is independent of the choices of symplectic embeddings.2. Under certain reasonable assumptions, there is certain functoriality for Ekedahl--Oort stratifications with respect to morphisms of Shimura varieties.

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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.