In algebraic geometry, the Mumford vanishing theorem proved by Mumford 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 KawamataâÂÂViehweg vanishing theorem.