Geodesic
Families of hypersurfaces of large degree
Journal of the European Mathematical Society, Tome 14 (2012) no. 3, pp. 911-936.

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

Grauert and Manin showed that a non-isotrivial family of compact complex hyperbolic curves has finitely many sections. We consider a generic moving enough family of high enough degree hypersurfaces in a complex projective space. We show the existence of a strict closed subset of its total space that contains the image of all its sections.
DOI : 10.4171/jems/322
Classification : 14-XX, 32-XX, 00-XX
Keywords: Families of varieties of general type, Lang's problems, jet bundles 
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     author = {Christophe Mourougane},
     title = {Families of hypersurfaces of large degree},
     journal = {Journal of the European Mathematical Society},
     pages = {911--936},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2012},
     doi = {10.4171/jems/322},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/322/}
}
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Christophe Mourougane. Families of hypersurfaces of large degree. Journal of the European Mathematical Society, Tome 14 (2012) no. 3, pp. 911-936. doi : 10.4171/jems/322. http://geodesic.mathdoc.fr/articles/10.4171/jems/322/

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