# On subvarieties with ample normal bundle

@article{Ottem2013OnSW,
title={On subvarieties with ample normal bundle},
author={John Christian Ottem},
journal={arXiv: Algebraic Geometry},
year={2013}
}
• J. C. Ottem
• Published 9 September 2013
• Mathematics
• arXiv: Algebraic Geometry
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.
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