Examples of a non-vanishing conjecture of Kawamata

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Abstract

Let M be a compact complex manifold with a positive holomorphic line bundle L, and K be its canonical line bundle. We give some sufficient conditions for the non-vanishing of H0 (M, K + L). We also show that the criterion can be applied to interesting classes of examples including all compact locally hermitian symmetric spaces of non-compact type, Mostow-Siu [10] surfaces, Kähler threefolds given by Deraux [3] and examples of Zheng [17].

Original languageEnglish
Pages (from-to)527-533
Number of pages7
JournalInternational Journal of Mathematics
Volume18
Issue number5
DOIs
Publication statusPublished - 2007 May 1

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Keywords

  • Adjoint line bundle
  • Kahler manifold
  • Kawamata
  • Non-positively curved
  • Non-vanishing

ASJC Scopus subject areas

  • Mathematics(all)

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