{"title":"ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS","authors":"Y. Fukuma","doi":"10.2206/kyushujm.75.211","DOIUrl":null,"url":null,"abstract":". Let ( X , L ) denote a polarized manifold of dimension five. This study considers the dimension of the global sections of K X + mL with m ≥ 6. In particular, we prove that h 0 ( K X + mL ) ≥ (cid:0) m − 1 5 (cid:1) for any polarized 5-fold ( X , L ) with h 0 ( L ) > 0. Furthermore, we also consider ( X , L ) with h 0 ( K X + mL ) = (cid:0) m − 1 5 (cid:1) for some m ≥ 6 with h 0 ( L ) > 0.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2206/kyushujm.75.211","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
. Let ( X , L ) denote a polarized manifold of dimension five. This study considers the dimension of the global sections of K X + mL with m ≥ 6. In particular, we prove that h 0 ( K X + mL ) ≥ (cid:0) m − 1 5 (cid:1) for any polarized 5-fold ( X , L ) with h 0 ( L ) > 0. Furthermore, we also consider ( X , L ) with h 0 ( K X + mL ) = (cid:0) m − 1 5 (cid:1) for some m ≥ 6 with h 0 ( L ) > 0.