Some Remarks on Generic Complete Intersection Varieties

Damian Brotbek (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We prove an existence theorem for jet differentials on complete intersection varieties that generalizes a theorem of S. Diverio. We also show that one can readily deduce hyperbolicity for generic complete intersections of high multidegree from earlier work of Diverio-Merker-Rousseau and Diverio-Trapani. And finally we prove the numerical aspect of a conjecture of O. Debarre.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Damian Brotbek. Some Remarks on Generic Complete Intersection Varieties. 2010. ⟨hal-00526608⟩