Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem

F. Laytimi () and D. S. Nagaraj ()
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F. Laytimi: Université Lille 1
D. S. Nagaraj: Institute of Mathematical Sciences (H.B.N.I.), C.I.T. campus

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 2, 257-263

Abstract: Abstract In this article we prove a general result on a nef vector bundle E on a projective manifold X of dimension n depending on the vector space Hn,n(X,E): It is also shown that Hn,n(X,E) = 0 for an indecomposable nef rank 2 vector bundles E on some specific type of n dimensional projective manifold X. The same vanishing shown to hold for indecomposable nef and big rank 2 vector bundles on any variety with trivial canonical bundle.

Keywords: Nef and big vector bundle; vanishing and non vanishing cohomology groups (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0267-6

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