{"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}
引用次数: 12
Abstract
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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