Vanishing Theorems on Compact Hyper-kähler Manifolds. (16th February 2014)

• Record Type: Journal Article
• Authors: Yang, Qilin
• Other Names: Saadati Reza Academic Editor.
• Is Part Of: Geometry. Volume 2014(2014)
• Publication Date: 2014-02-16
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2014/243236
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : We prove that if B is a k -positive holomorphic line bundle on a compact hyper-kähler manifold M, then H p M, Ω q ⊗ B = 0 for P > n + [ k / 2 ] with q a nonnegative integer. In a special case, k = 0 and q = 0, we recover a vanishing theorem of Verbitsky's with a little stronger assumption.