{"title":"Periodicity of Hitchin’s Uniformizing Higgs Bundles","authors":"Raju Krishnamoorthy, Mao Sheng","doi":"10.1093/imrn/rnae042","DOIUrl":null,"url":null,"abstract":"Let $C$ be a smooth projective curve over ${{\\mathbb{C}}}$. We link the periodicity of Hitchin’s uniformizing Higgs bundle of $C$ with the underlying arithmetic geometry of the curve. Some new relations are discovered. We also speculate on the whole class of periodic Higgs bundles.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":"161 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematics Research Notices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/imrn/rnae042","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Let $C$ be a smooth projective curve over ${{\mathbb{C}}}$. We link the periodicity of Hitchin’s uniformizing Higgs bundle of $C$ with the underlying arithmetic geometry of the curve. Some new relations are discovered. We also speculate on the whole class of periodic Higgs bundles.
期刊介绍：
International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.
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