Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# Some Adjunction Properties of Ample Vector Bundles

Published:2001-12-01
Printed: Dec 2001
• Hironobu Ishihara
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

Let $\ce$ 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 $K_X + (t-r) \det \ce$ when $t \ge \dim X$ and $t>r$. As an application, we classify pairs $(X,\ce)$ with $c_r$-sectional genus zero.
 Keywords: ample vector bundle, adjunction, sectional genus
 MSC Classifications: 14J60 - Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx] 14C20 - Divisors, linear systems, invertible sheaves 14F05 - Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20] 14J40 - $n$-folds ($n>4$)

© Canadian Mathematical Society, 2014 : https://cms.math.ca/