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Author Höring, Andreas
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-12-07
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Algebraic Geometry ♦ 14C17 ♦ 14C40 ♦ 14C20 ♦ 14J40 ♦ 14N30 ♦ math
Abstract Let X be a projective manifold of dimension n. Beltrametti and Sommese conjectured that if A is an ample divisor such that $K_X+(n-1)A$ is nef, then $K_X+(n-1)A$ has non-zero global sections. We prove a weak version of this conjecture in arbitrary dimension. In dimension three, we prove the stronger non-vanishing conjecture of Ambro, Ionescu and Kawamata and give an application to Seshadri constants.
Educational Use Research
Learning Resource Type Article


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