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

Jun Yan Cao, Jean Pierre Demailly, Shin ichi Matsumura

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)949-962
Number of pages14
JournalScience China Mathematics
Volume60
Issue number6
DOIs
Publication statusPublished - 2017 Jun 1

Keywords

  • Dolbeault cohomology
  • L estimates
  • Ohsawa-Takegoshi extension theorem
  • coherent sheaf cohomology
  • compact Kähler manifold
  • multiplier ideal sheaf
  • plurisubharmonic function
  • singular hermitian metric

ASJC Scopus subject areas

  • Mathematics(all)

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