A general extension theorem for cohomology classes on non reduced analytic subspaces

By Junyan Cao, J. Demailly, Shin-ichi Matsumura. 2017

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The main purpose of this paper is to generalize the celebrated L2 extension theorem of Ohsawa and Takegoshi in several directions: The holomorphic sections to extend are taken in a possibly singular hermitian line bundle, the subvariety from which the extension is performed may be non reduced, the ambient manifold is Kähler and holomorphically convex, but not necessarily compact.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f4e6aa46044b656589c87156c075b7aa4f8b6ee8