On subvarieties with ample normal bundle
Algebraic Geometry
2013-12-05 v2
Abstract
We show that a pseudoeffective R-divisor has numerical dimension 0 if it is numerically trivial on a subvariety with ample normal bundle. This implies that the cycle class of a curve with ample normal bundle is big, giving an affirmative answer to a question of Peternell. We also give other positivity properties such subvarieties.
Cite
@article{arxiv.1309.2263,
title = {On subvarieties with ample normal bundle},
author = {John Christian Ottem},
journal= {arXiv preprint arXiv:1309.2263},
year = {2013}
}