{"title":"偏振五折伴随束整体截面的维数","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":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"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\":49929,\"journal\":{\"name\":\"Kyushu Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kyushu Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2206/kyushujm.75.211\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyushu Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2206/kyushujm.75.211","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS
. 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.
期刊介绍：
The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total.
More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.
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