Examples of a non-vanishing conjecture of Kawamata

Yu Lin Chang*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

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].

原文英語
頁(從 - 到)527-533
頁數7
期刊International Journal of Mathematics
18
發行號5
DOIs
出版狀態已發佈 - 2007 5月
對外發佈

ASJC Scopus subject areas

  • 一般數學

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