論文

査読有り
2018年12月

Splitting theorem for sheaves of holomorphic k-vectors on complex contact manifolds

INTERNATIONAL JOURNAL OF MATHEMATICS
  • Takayuki Moriyama
  • ,
  • Takashi Nitta

29
13
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1142/S0129167X1850091X
出版者・発行元
WORLD SCIENTIFIC PUBL CO PTE LTD

A complex contact structure gamma is defined by a system of holomorphic local 1-forms satisfying the completely non-integrability condition. The contact structure induces a subbundle Kerry of the tangent bundle and a line bundle L. In this paper, we prove that the sheaf of holomorphic k-vectors on a complex contact manifold splits into the sum of O(boolean AND(k) Ker gamma) and O(L circle times boolean AND(k-1) Kerry) as sheaves of C-module. The theorem induces the short exact sequence of cohomology of holomorphic k-vectors, and we obtain vanishing theorems for the cohomology of O(boolean AND(k) Ker gamma).


リンク情報
DOI
https://doi.org/10.1142/S0129167X1850091X
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000454430700002&DestApp=WOS_CPL
ID情報
  • DOI : 10.1142/S0129167X1850091X
  • ISSN : 0129-167X
  • eISSN : 1793-6519
  • Web of Science ID : WOS:000454430700002

エクスポート
BibTeX RIS