## Algebraic Geometry Seminar

Jean-Pierre DEMAILLY

Institut Fourier, Grenoble, FRANCE

Extension theorems for sections and cohomology classes under weak semipositivity conditions

**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.

Monday April 24, 2017 at 4:00 PM in SEO 427