{"title":"完美曲面模曲线的积分模型","authors":"Juan Esteban Rodr'iguez Camargo","doi":"10.5802/JEP.170","DOIUrl":null,"url":null,"abstract":"We construct a formal integral model of the perfectoid modular curve. Studying this object, we provide some vanishing results in the coherent cohomology at perfectoid level. We also relate the completed cohomology of the modular tower with the integral cusp forms of weight $2$.","PeriodicalId":106406,"journal":{"name":"Journal de l’École polytechnique — Mathématiques","volume":"132 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An integral model of the perfectoid modular curve\",\"authors\":\"Juan Esteban Rodr'iguez Camargo\",\"doi\":\"10.5802/JEP.170\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct a formal integral model of the perfectoid modular curve. Studying this object, we provide some vanishing results in the coherent cohomology at perfectoid level. We also relate the completed cohomology of the modular tower with the integral cusp forms of weight $2$.\",\"PeriodicalId\":106406,\"journal\":{\"name\":\"Journal de l’École polytechnique — Mathématiques\",\"volume\":\"132 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal de l’École polytechnique — Mathématiques\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5802/JEP.170\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal de l’École polytechnique — Mathématiques","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/JEP.170","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We construct a formal integral model of the perfectoid modular curve. Studying this object, we provide some vanishing results in the coherent cohomology at perfectoid level. We also relate the completed cohomology of the modular tower with the integral cusp forms of weight $2$.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
