{"title":"A few computations about the real cycle class map in low dimensions","authors":"Jens Hornbostel","doi":"arxiv-2405.14348","DOIUrl":null,"url":null,"abstract":"We investigate the surjectivity of the real cycle class map from\n$I$-cohomology to classical intergral cohomology for some real smooth\nvarieties, in particular surfaces. This might be considered as one of several\npossible incarnations of real integral Hodge theory.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":"161 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.14348","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the surjectivity of the real cycle class map from
$I$-cohomology to classical intergral cohomology for some real smooth
varieties, in particular surfaces. This might be considered as one of several
possible incarnations of real integral Hodge theory.
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