Titlebook: Lectures on Vanishing Theorems; Hélène Esnault,Eckart Viehweg Book 1992 Springer Basel AG 1992 Divisor.algebra.algebraic geometry.cohomolo

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Lectures on Vanishing Theorems978-3-0348-8600-0Series ISSN 1661-237X Series E-ISSN 2296-5041

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https://doi.org/10.1007/978-3-0348-8600-0Divisor; algebra; algebraic geometry; cohomology; deformation theory; manifold

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,Kodaira’s vanishing theorem, a general discussion,Let . be a projective manifold defined over an algebraically closed field . and let . be an invertible sheaf on .. By explicit calculations of the ?echcohomology of the projective space one obtains.

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Characteristic , methods: Lifting of schemes,Up to this point we did not prove the degeneration of the Hodge spectral sequence used in (3.2). Before doing so in Lecture 10 let us first recall what we want to prove.