{"title":"余维三轨道的除法收缩","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":"{\"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}","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}
Divisorial contractions to codimension three orbits
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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