In algebraic geometry, the Ramanujam vanishing theorem is an extension of the Kodaira vanishing theorem due to Ramanujam (1972), that in particular gives conditions for the vanishing of first cohomology groups of coherent sheaves on a surface. The Kawamata–Viehweg vanishing theorem generalizes it.
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In algebraic geometry, the Ramanujamvanishingtheorem is an extension of the Kodaira vanishingtheorem due to Ramanujam (1972), that in particular gives...
The Mumford vanishingtheorem is related to the Ramanujamvanishingtheorem, and is generalized by the Kawamata–Viehweg vanishingtheorem. Mumford, David...
space. The vanishing of these cohomology groups above dimension n {\displaystyle n} is a very special case of Grothendieck's vanishingtheorem: for any...
Michel (1978), "Contre-exemple au "vanishingtheorem" en caractéristique p > 0 {\displaystyle p>0} ", C. P. Ramanujam—a tribute, Tata Inst. Fund. Res. Studies...
Shanti Swarup Bhatnagar Prize (1979) C. P. Ramanujam, Ramanujam–Samuel theorem and Ramanujamvanishingtheorem Krishnaswami Alladi, Fellow of American Mathematical...
vanishingtheorem is false for surfaces in characteristic p. In the third paper, he gives an example of a normal surface for which Kodaira vanishing fails...
conjecture. Standard monomial theory proves the Kempf vanishingtheorem and other vanishingtheorems for the higher cohomology of effective line bundles...