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

Abstract

The main purpose of this paper is to generalize the celebrated L${}^2$ extension theorem of Ohsawa-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 K{ä}hler and holomorphically convex, but not necessarily compact.

To appear in Science China Mathematics SCM-2017-0090 in memory of professor Lu QiKeng

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