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