Families of hypersurfaces of large degree

Christophe Mourougane (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We show that general moving enough families of high enough degree hypersurfaces in a complex projective space do not have a dominant set of sections.

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

Christophe Mourougane. Families of hypersurfaces of large degree. Journal of the European Mathematical Society, 2012, 14 (3), pp.911-936. ⟨10.4171/JEMS/322⟩. ⟨hal-00422633⟩