{"title":"雅可比矩阵的光滑亚变体","authors":"Olivier Benoist, O. Debarre","doi":"10.46298/epiga.2023.10321","DOIUrl":null,"url":null,"abstract":"We give new examples of algebraic integral cohomology classes on smooth\nprojective complex varieties that are not integral linear combinations of\nclasses of smooth subvarieties. Some of our examples have dimension 6, the\nlowest possible. The classes that we consider are minimal cohomology classes on\nJacobians of very general curves. Our main tool is complex cobordism.","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Smooth subvarieties of Jacobians\",\"authors\":\"Olivier Benoist, O. Debarre\",\"doi\":\"10.46298/epiga.2023.10321\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give new examples of algebraic integral cohomology classes on smooth\\nprojective complex varieties that are not integral linear combinations of\\nclasses of smooth subvarieties. Some of our examples have dimension 6, the\\nlowest possible. The classes that we consider are minimal cohomology classes on\\nJacobians of very general curves. Our main tool is complex cobordism.\",\"PeriodicalId\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2023.10321\",\"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.2023.10321","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We give new examples of algebraic integral cohomology classes on smooth
projective complex varieties that are not integral linear combinations of
classes of smooth subvarieties. Some of our examples have dimension 6, the
lowest possible. The classes that we consider are minimal cohomology classes on
Jacobians of very general curves. Our main tool is complex cobordism.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
