Jean-Pierre DEMAILLY : Extension theorems for sections and cohomology classes under weak semipositivity conditions

Posted by Mihai Paun , part of the Algebraic Geometry Seminar.

At

April 24, 2017, 4 p.m.

In

SEO 427

Abstract

We describe a generalization of an L2 extension theorem due to Ohsawa-Takegoshi: the holomorphic sections or cohomology classes defined on an algebraic subscheme (or a non necessarily reduced analytic subvariety) can be extended under a weak semipositivity assumption. This even works with singular hermitian metrics, and the ambient subvariety need only be Kaehler and holomorphically convex, the total space of a projective morphism over an affine base being a typical situation.