論文

査読有り
2015年9月

On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles

KYOTO JOURNAL OF MATHEMATICS
  • Takayuki Koike

55
3
開始ページ
607
終了ページ
616
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1215/21562261-3089091
出版者・発行元
DUKE UNIV PRESS

We apply Ueda theory to a study of singular Hermitian metrics of a (strictly) nef line bundle L. Especially we study minimal singular metrics of L, metrics of L with the mildest singularities among singular Hermitian metrics of L whose local weights are plurisubharmonic. In some situations, we determine a minimal singular metric of L. As an application, we give new examples of (strictly) nef line bundles which admit no smooth Hermitian metric with semipositive curvature.

Web of Science ® 被引用回数 : 5

リンク情報
DOI
https://doi.org/10.1215/21562261-3089091
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000361109000009&DestApp=WOS_CPL
ID情報
  • DOI : 10.1215/21562261-3089091
  • ISSN : 2156-2261
  • eISSN : 2154-3321
  • Web of Science ID : WOS:000361109000009

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