{"title":"On the B-Semiampleness Conjecture","authors":"E. Floris, Vladimir Lazi'c","doi":"10.46298/epiga.2019.volume3.5063","DOIUrl":null,"url":null,"abstract":"The B-Semiampleness Conjecture of Prokhorov and Shokurov predicts that the\nmoduli part in a canonical bundle formula is semiample on a birational\nmodification. We prove that the restriction of the moduli part to any\nsufficiently high divisorial valuation is semiample, assuming the conjecture in\nlower dimensions.\n\n Comment: 26 pages","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2018-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2019.volume3.5063","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: 9
Abstract
The B-Semiampleness Conjecture of Prokhorov and Shokurov predicts that the
moduli part in a canonical bundle formula is semiample on a birational
modification. We prove that the restriction of the moduli part to any
sufficiently high divisorial valuation is semiample, assuming the conjecture in
lower dimensions.
Comment: 26 pages
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