{"title":"吹胀的霍普夫曲面上的向量束","authors":"Matei Toma","doi":"arxiv-2408.17330","DOIUrl":null,"url":null,"abstract":"We show that certain moduli spaces of vector bundles over blown-up primary\nHopf surfaces admit no compact components. These are the moduli spaces used by\nAndrei Teleman in his work on the classification of class $VII$ surfaces.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"89 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vector bundles on blown-up Hopf surfaces\",\"authors\":\"Matei Toma\",\"doi\":\"arxiv-2408.17330\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that certain moduli spaces of vector bundles over blown-up primary\\nHopf surfaces admit no compact components. These are the moduli spaces used by\\nAndrei Teleman in his work on the classification of class $VII$ surfaces.\",\"PeriodicalId\":501142,\"journal\":{\"name\":\"arXiv - MATH - Complex Variables\",\"volume\":\"89 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Complex Variables\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.17330\",\"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 - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.17330","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We show that certain moduli spaces of vector bundles over blown-up primary
Hopf surfaces admit no compact components. These are the moduli spaces used by
Andrei Teleman in his work on the classification of class $VII$ surfaces.
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