{"title":"具有准水平结构的志村变种积分模型，II","authors":"Mark Kisin, Georgios Pappas, Rong Zhou","doi":"arxiv-2409.03689","DOIUrl":null,"url":null,"abstract":"We construct integral models of Shimura varieties of abelian type with\nparahoric level structure over odd primes. These models are \\'etale locally\nisomorphic to corresponding local models.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Integral models of Shimura varieties with parahoric level structure, II\",\"authors\":\"Mark Kisin, Georgios Pappas, Rong Zhou\",\"doi\":\"arxiv-2409.03689\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct integral models of Shimura varieties of abelian type with\\nparahoric level structure over odd primes. These models are \\\\'etale locally\\nisomorphic to corresponding local models.\",\"PeriodicalId\":501064,\"journal\":{\"name\":\"arXiv - MATH - Number Theory\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Number Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.03689\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.03689","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Integral models of Shimura varieties with parahoric level structure, II
We construct integral models of Shimura varieties of abelian type with
parahoric level structure over odd primes. These models are \'etale locally
isomorphic to corresponding local models.
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