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Ramanujam vanishing theorem information


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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Ramanujam vanishing theorem

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In algebraic geometry, the Ramanujam vanishing theorem is an extension of the Kodaira vanishing theorem due to Ramanujam (1972), that in particular gives...

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Vanishing theorem

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theorem Mumford vanishing theorem Nakano vanishing theorem Ramanujam vanishing theorem Serre's vanishing theorem This disambiguation page lists mathematics...

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Kodaira vanishing theorem

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Enriques–Kodaira classification. Kawamata–Viehweg vanishing theorem Mumford vanishing theorem Ramanujam vanishing theorem (Fujino 2009, Proposition 2.64) Deligne...

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Mumford vanishing theorem

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

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List of theorems

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theorem (harmonic analysis) Radon's theorem (convex sets) Radon–Nikodym theorem (measure theory) Raikov's theorem (probability) Ramanujam vanishing theorem...

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Coherent sheaf cohomology

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space. The vanishing of these cohomology groups above dimension n {\displaystyle n} is a very special case of Grothendieck's vanishing theorem: for any...

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Raynaud surface

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Michel (1978), "Contre-exemple au "vanishing theorem" en caractéristique p > 0 {\displaystyle p>0} ", C. P. Ramanujam—a tribute, Tata Inst. Fund. Res. Studies...

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List of University of Madras people

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Shanti Swarup Bhatnagar Prize (1979) C. P. Ramanujam, Ramanujam–Samuel theorem and Ramanujam vanishing theorem Krishnaswami Alladi, Fellow of American Mathematical...

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David Mumford

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vanishing theorem is false for surfaces in characteristic p. In the third paper, he gives an example of a normal surface for which Kodaira vanishing fails...

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Standard monomial theory

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conjecture. Standard monomial theory proves the Kempf vanishing theorem and other vanishing theorems for the higher cohomology of effective line bundles...

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