{"title":"关于低维度实周期类图的几点计算","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":"{\"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}","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}
A few computations about the real cycle class map in low dimensions
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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