An extension theorem

Benoît Claudon (1)

1 IECN - Institut Élie Cartan de Nancy

In this paper, we show an extension type theorem for twisted pluricanonical sections on a family of smooth projective manifolds (the twisting line bundle being pseudo-effective and having a prescribed multiplier ideal on the central fiber).

Mots clés: smooth family; invariance of plurigenera; twisted pluricanonical sections

Domaines: Géométrie algébrique [math.AG]

Benoît Claudon. An extension theorem. 2006. ⟨hal-00014791v2⟩