Vanishing Theorems on Compact Hyper-kähler Manifolds
Keyword(s):
We prove that if B is a k-positive holomorphic line bundle on a compact hyper-kähler manifold M, then HpM,Ωq⊗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.
2014 ◽
Vol 150
(11)
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pp. 1869-1902
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Keyword(s):
2007 ◽
Vol 143
(6)
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pp. 1576-1592
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2011 ◽
Vol 22
(04)
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pp. 545-576
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2006 ◽
Vol 17
(01)
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pp. 35-43
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1995 ◽
Vol 5
(1)
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pp. 79-97
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Keyword(s):
1998 ◽
Vol 21
(1)
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pp. 69-72
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Keyword(s):
2016 ◽
Vol 08
(04)
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pp. 589-626
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