Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem

Autor:	Laytimi, F., Nagaraj, D. S.
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.04476 Zobrazit plný text záznamu View this record from Arxiv