Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem

2017/02/15 by F. Laytimi, Laytimi, F., D. S. Nagaraj +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1702.04476

arxiv created 2017/02/15 · openalex publication_date 2017/02/15 · arxiv updated 2017/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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