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

Junyan Cao, Jean Pierre Demailly, Shin Ichi Matsumura

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Mar 1

Keywords

  • Coherent sheaf cohomology
  • Compact Kähler manifold
  • Dolbeault cohomology
  • L estimates
  • Multiplier ideal sheaf
  • Ohsawa-Takegoshi extension theorem
  • Plurisubharmonic function
  • Singular hermitian metric

ASJC Scopus subject areas

  • General

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