Geodesic
On subvarieties with ample normal bundle
Journal of the European Mathematical Society, Tome 18 (2016) no. 11, pp. 2459-2468 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2016_18_11_a0,
     author = {John Christian Ottem},
     title = {On subvarieties with ample normal bundle},
     journal = {Journal of the European Mathematical Society},
     pages = {2459--2468},
     year = {2016},
     volume = {18},
     number = {11},
     doi = {10.4171/jems/644},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/644/}
}
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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

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