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Mumford vanishing theorem

From Wikipedia, the free encyclopedia

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In algebraic geometry, the Mumford vanishing theorem proved by Mumford[1] in 1967 states that if L is a semi-ample invertible sheaf with Iitaka dimension at least 2 on a complex projective manifold, then

The Mumford vanishing theorem is related to the Ramanujam vanishing theorem, and is generalized by the Kawamata–Viehweg vanishing theorem.

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