{"title":"Inversion maps and torus actions on rational homogeneous varieties","authors":"Alberto Franceschini, Luis E. Solá Conde","doi":"10.1007/s10711-023-00866-z","DOIUrl":null,"url":null,"abstract":"<p>Complex projective algebraic varieties with <span>\\({{\\mathbb {C}}}^*\\)</span>-actions can be thought of as geometric counterparts of birational transformations. In this paper we describe geometrically the birational transformations associated to rational homogeneous varieties endowed with a <span>\\({{\\mathbb {C}}}^*\\)</span>-action with no proper isotropy subgroups.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10711-023-00866-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Complex projective algebraic varieties with \({{\mathbb {C}}}^*\)-actions can be thought of as geometric counterparts of birational transformations. In this paper we describe geometrically the birational transformations associated to rational homogeneous varieties endowed with a \({{\mathbb {C}}}^*\)-action with no proper isotropy subgroups.
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