{"title":"Beauville p-Groups: A Survey","authors":"B. Fairbairn","doi":"10.1017/9781108692397.012","DOIUrl":null,"url":null,"abstract":"Beauville surfaces are a class of complex surfaces defined by letting a finite group \nG act on a product of Riemann surfaces. These surfaces possess many attractive \ngeometric properties several of which are dictated by properties of the group G. \nIn this survey we discuss the p-groups that may be used in this way. En route we \ndiscuss several open problems, questions and conjectures.","PeriodicalId":148530,"journal":{"name":"Groups St Andrews 2017 in Birmingham","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups St Andrews 2017 in Birmingham","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108692397.012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
Beauville surfaces are a class of complex surfaces defined by letting a finite group
G act on a product of Riemann surfaces. These surfaces possess many attractive
geometric properties several of which are dictated by properties of the group G.
In this survey we discuss the p-groups that may be used in this way. En route we
discuss several open problems, questions and conjectures.
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