{"title":"通过Kuranishi家族的teichm<e:1>空间","authors":"E. Arbarello, M. Cornalba","doi":"10.2422/2036-2145.2009.1.05","DOIUrl":null,"url":null,"abstract":"In this partly expository note we construct Teichm¨ uller space by patching together Kuranishi families. We also discuss the basic properties of Te- ichmspace, and in particular show that our construction leads to simplifica- tions in the proof of Teichmtheorem asserting that the genus g Teichm¨ uller","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"1 1","pages":"89-116"},"PeriodicalIF":1.2000,"publicationDate":"2007-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Teichmüller space via Kuranishi families\",\"authors\":\"E. Arbarello, M. Cornalba\",\"doi\":\"10.2422/2036-2145.2009.1.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this partly expository note we construct Teichm¨ uller space by patching together Kuranishi families. We also discuss the basic properties of Te- ichmspace, and in particular show that our construction leads to simplifica- tions in the proof of Teichmtheorem asserting that the genus g Teichm¨ uller\",\"PeriodicalId\":50966,\"journal\":{\"name\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"volume\":\"1 1\",\"pages\":\"89-116\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2007-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2422/2036-2145.2009.1.05\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2422/2036-2145.2009.1.05","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this partly expository note we construct Teichm¨ uller space by patching together Kuranishi families. We also discuss the basic properties of Te- ichmspace, and in particular show that our construction leads to simplifica- tions in the proof of Teichmtheorem asserting that the genus g Teichm¨ uller
期刊介绍：
The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication.
The Annals of the Normale Scuola di Pisa - Science Class is published quarterly
Soft cover, 17x24
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