Hartogs type extension theorems on some domains in Kähler manifolds

• Autorzy: Takeo Ohsawa
• Języki publikacji: EN

Abstrakty

EN

Given a locally pseudoconvex bounded domain Ω, in a complex manifold M, the Hartogs type extension theorem is said to hold on Ω if there exists an arbitrarily large compact subset K of Ω such that every holomorphic function on Ω-K is extendible to a holomorphic function on Ω. It will be reported, based on still unpublished papers of the author, that the Hartogs type extension theorem holds in the following two cases: 1) M is Kähler and ∂Ω is C²-smooth and not Levi flat; 2) M is compact Kähler and ∂Ω is the support of a divisor whose normal bundle is nonflatly semipositive.

Kategorie tematyczne

• 32D15: Continuation of analytic objects

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 243-254

Daty

wydano

2012

Twórcy

autor

Takeo Ohsawa

• Graduate School of Mathematics, Nagoya University, Chikusaku Furocho 464-8602 Nagoya, Japan

Identyfikatory

DOI

10.4064/ap106-0-19