A general extension theorem for cohomology classes on non reduced analytic spaces
Résumé
The main purpose of this paper is to generalize the celebrated L² 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 Kähler and holomorphically convex, but not necessarily compact.
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