The goal of the talk will be to discuss L” extension properties of holomorphic sections of vector bundles satisfying weak semi-positivity properties. Using techniques borrowed from recent proofs of the Ohsawa-Takegoshi extension theorem, we obtain several new surjectivity results for the restriction morphism to a non necessarily reduced subvariety, provided the latter is defined as the zero variety of a multiplier ideal sheaf. These extension results are derived from L” approximation techniques, and they hold under (probably) optimal curvature conditions.
04 oct 2016
10:00 - 11:00
Salle 5, Site Marcelin Berthelot
En libre accès, dans la limite des places disponibles
Jean-Pierre Demailly, Institut Fourier, Université de Grenoble
URL de la vidéo