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Pré-Publication, Document De Travail Année : 2017

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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Dates et versions

hal-01480220 , version 1 (01-03-2017)
hal-01480220 , version 2 (02-04-2017)

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Junyan Cao, Jean-Pierre Demailly, Shin-Ichi Matsumura. A general extension theorem for cohomology classes on non reduced analytic spaces: dedicated to the memory of Professor Qikeng Lu. 2017. ⟨hal-01480220v1⟩
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