{"title":"Picard群$\\mathbb{Z}^2$的光滑射影占球变体","authors":"B. Pasquier","doi":"10.46298/EPIGA.2020.VOLUME4.5090","DOIUrl":null,"url":null,"abstract":"International audience\n \n We classify all smooth projective horospherical varieties of Picard group $\\mathbb{Z}^2$ and we give a first description of their geometry via the Log Minimal Model Program.\n","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2018-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Smooth projective horospherical varieties of Picard group $\\\\mathbb{Z}^2$\",\"authors\":\"B. Pasquier\",\"doi\":\"10.46298/EPIGA.2020.VOLUME4.5090\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"International audience\\n \\n We classify all smooth projective horospherical varieties of Picard group $\\\\mathbb{Z}^2$ and we give a first description of their geometry via the Log Minimal Model Program.\\n\",\"PeriodicalId\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2018-12-05\",\"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.2020.VOLUME4.5090\",\"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.2020.VOLUME4.5090","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$
International audience
We classify all smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ and we give a first description of their geometry via the Log Minimal Model Program.
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