{"title":"关于Ekedahl-Oort分层的几点评论","authors":"Chao Zhang","doi":"10.11650/tjm/201207","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some Remarks on Ekedahl–Oort Stratifications\",\"authors\":\"Chao Zhang\",\"doi\":\"10.11650/tjm/201207\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":22176,\"journal\":{\"name\":\"Taiwanese Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Taiwanese Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.11650/tjm/201207\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Taiwanese Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.11650/tjm/201207","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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