論文

査読有り
2015年

ON MINIMAL SINGULAR METRICS OF CERTAIN CLASS OF LINE BUNDLES WHOSE SECTION RING IS NOT FINITELY GENERATED

ANNALES DE L INSTITUT FOURIER
  • Takayuki Koike

65
5
開始ページ
1953
終了ページ
1967
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
ANNALES INST FOURIER

Wea are interested in the regularity of a minimal singular metric of a line bundle. One main conclusion of our general result in this paper is the existence of smooth Hermitian metrics with semi-positive curvatures on the so-called Zariski's example of a line bundle defined over the blow-up of P-2 at twelve points. This is an example of a line bundle which is nef, big, not semi-ample, and whose section ring is not finitely generated. We generalize this result to the higher dimensional case when the stable base locus of a line bundle is a smooth hypersurface with a holomorphic tubular neighborhood.

Web of Science ® 被引用回数 : 6

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000369118000004&DestApp=WOS_CPL
ID情報
  • ISSN : 0373-0956
  • Web of Science ID : WOS:000369118000004

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