{"title":"论单位弗里德伯格-雅克特周期的 p-adic 插值法","authors":"Andrew Graham","doi":"10.2140/ant.2024.18.1117","DOIUrl":null,"url":null,"abstract":"<p>We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use this to construct a <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>p</mi></math>-adic analytic function interpolating unitary Friedberg–Jacquet periods. </p>","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":"19 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the p-adic interpolation of unitary Friedberg–Jacquet periods\",\"authors\":\"Andrew Graham\",\"doi\":\"10.2140/ant.2024.18.1117\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use this to construct a <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>p</mi></math>-adic analytic function interpolating unitary Friedberg–Jacquet periods. </p>\",\"PeriodicalId\":50828,\"journal\":{\"name\":\"Algebra & Number Theory\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra & Number Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2140/ant.2024.18.1117\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Number Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2140/ant.2024.18.1117","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the p-adic interpolation of unitary Friedberg–Jacquet periods
We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use this to construct a -adic analytic function interpolating unitary Friedberg–Jacquet periods.
期刊介绍:
ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms.
The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.