{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","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":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
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.
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