{"title":"模曲线的高级Hida和Coleman理论","authors":"G. Boxer, V. Pilloni","doi":"10.46298/epiga.2022.6112","DOIUrl":null,"url":null,"abstract":"We construct Hida and Coleman theories for the degree 0 and 1 cohomology of\nautomorphic line bundles on the modular curve and we define a p-adic duality\npairing between the theories in degree 0 and 1.","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2020-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Higher Hida and Coleman theories on the modular curve\",\"authors\":\"G. Boxer, V. Pilloni\",\"doi\":\"10.46298/epiga.2022.6112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct Hida and Coleman theories for the degree 0 and 1 cohomology of\\nautomorphic line bundles on the modular curve and we define a p-adic duality\\npairing between the theories in degree 0 and 1.\",\"PeriodicalId\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2020-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2022.6112\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2022.6112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Higher Hida and Coleman theories on the modular curve
We construct Hida and Coleman theories for the degree 0 and 1 cohomology of
automorphic line bundles on the modular curve and we define a p-adic duality
pairing between the theories in degree 0 and 1.
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