Displaying similar documents to “Bounding Cohomology Groups of Vector Bundles on IPn.”

Positivity on subvarieties and vanishing of higher cohomology

Alex Küronya (2013)

Annales de l’institut Fourier

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We study the relationship between positivity of restriction of line bundles to general complete intersections and vanishing of their higher cohomology. As a result, we extend classical vanishing theorems of Kawamata–Viehweg and Fujita to possibly non-nef divisors.