{"title":"Rational points and zero-cycles on rationally\n connected varieties over number fields","authors":"Olivier Wittenberg","doi":"10.1090/pspum/097.2/20","DOIUrl":null,"url":null,"abstract":"We report on progress in the qualitative study of rational points on rationally connected varieties over number fields, also examining integral points, zero-cycles, and non-rationally connected varieties. One of the main objectives is to highlight and explain the many recent interactions with analytic number theory.","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"33","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebraic Geometry: Salt Lake City\n 2015","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/pspum/097.2/20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 33
Abstract
We report on progress in the qualitative study of rational points on rationally connected varieties over number fields, also examining integral points, zero-cycles, and non-rationally connected varieties. One of the main objectives is to highlight and explain the many recent interactions with analytic number theory.
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