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arXiv · 1703.00292

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

Junyan Cao·Jean-Pierre Demailly·Shin-Ichi Matsumura
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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{\"a}hler and holomorphically convex, but not necessarily compact.

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Junyan Cao, Jean-Pierre Demailly, Shin-Ichi Matsumura. 2017-03-01. A general extension theorem for cohomology classes on non reduced analytic spaces. https://doi.org/10.1007/s11425-017-9066-0

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