{"title":"The real plane Cremona group is an amalgamated product","authors":"Susanna Zimmermann","doi":"10.5802/aif.3415","DOIUrl":null,"url":null,"abstract":"We show that the real Cremona group of the plane is a nontrivial amalgam of two groups amalgamated along their intersection and give an alternative proof of its abelianisation.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":"1 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales De L Institut Fourier","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/aif.3415","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
We show that the real Cremona group of the plane is a nontrivial amalgam of two groups amalgamated along their intersection and give an alternative proof of its abelianisation.
期刊介绍:
The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French.
The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.