{"title":"Divisorial contractions to codimension three orbits","authors":"S. Boissière, E. Floris","doi":"10.46298/epiga.2021.7020","DOIUrl":null,"url":null,"abstract":"Let $G$ be a connected algebraic group. We study $G$-equivariant extremal\ncontractions whose centre is a codimension three $G$-simply connected orbit. In\nthe spirit of an important result by Kawakita in 2001, we prove that those\ncontractions are weighted blow-ups.\n\n Comment: 22 pages, 2 figures","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2020-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2021.7020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Let $G$ be a connected algebraic group. We study $G$-equivariant extremal
contractions whose centre is a codimension three $G$-simply connected orbit. In
the spirit of an important result by Kawakita in 2001, we prove that those
contractions are weighted blow-ups.
Comment: 22 pages, 2 figures
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