Some adjunction properties of ample vector bundles

Hironobu Ishihara

Some adjunction properties of ample vector bundles

Algebraic Geometry 2007-05-23 v1

Authors: Hironobu Ishihara

Abstract

Let $E$ be an ample vector bundle of rank $r$ on a projective variety $X$ with only log-terminal singularities. We consider the nefness of adjoint divisors $K_X+(t-r)det(E)$ when $t>=dim(X)$ and $t>r$ . As a corollary, we classify pairs $(X,E)$ with $c_r$ -sectional genus zero.

Keywords

nef and ample line bundles vector bundles projective varieties

Cite

@article{arxiv.math/9902113,
  title  = {Some adjunction properties of ample vector bundles},
  author = {Hironobu Ishihara},
  journal= {arXiv preprint arXiv:math/9902113},
  year   = {2007}
}

Comments

7 pages, AMS-TeX

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