Geodesic
On subvarieties with ample normal bundle
Journal of the European Mathematical Society, Tome 18 (2016) no. 11, pp. 2459-2468.

Voir la notice de l'article provenant de la source EMS Press

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, which gives an affirmative answer to a conjecture of Peternell. We also give other positivity properties of such subvarieties.
DOI : 10.4171/jems/644
Classification : 14-XX
Keywords: Ample normal bundles, Hartshorne’s conjecture, positive cycles 
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     author = {John Christian Ottem},
     title = {On subvarieties with ample normal bundle},
     journal = {Journal of the European Mathematical Society},
     pages = {2459--2468},
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     year = {2016},
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John Christian Ottem. On subvarieties with ample normal bundle. Journal of the European Mathematical Society, Tome 18 (2016) no. 11, pp. 2459-2468. doi : 10.4171/jems/644. http://geodesic.mathdoc.fr/articles/10.4171/jems/644/

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