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arXiv · 1702.04476

Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem

F. Laytimi·D. S. Nagaraj
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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 $H^{n,n} (X, E). $ It is also shown that $H^{n,n} (X, E)=0$ 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.

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BibTeXRIS

F. Laytimi, D. S. Nagaraj. 2017-02-15. Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem. https://arxiv.org/abs/1702.04476

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