The goal of the talk will be to discuss L2 extension properties for 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 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 L2 approximation techniques, and they hold under rather general geometric assumptions.
This video is part of Harvard University‘s conference JDG 2017.
