Algebraic volume density property of affine algebraic manifolds

Shulim Kaliman, Frank Kutzschebauch

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We introduce the notion of algebraic volume density property for affine algebraic manifolds and prove some important basic facts about it, in particular that it implies the volume density property. The main results of the paper are producing two big classes of examples of Stein manifolds with volume density property. One class consists of certain affine modifications of ℂn equipped with a canonical volume form, the other is the class of all Linear Algebraic Groups equipped with the left invariant volume form.

Original languageEnglish (US)
Pages (from-to)605-647
Number of pages43
JournalInventiones Mathematicae
Volume181
Issue number3
DOIs
StatePublished - 2010

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Stein Manifold
Linear Algebraic Groups
Imply
Invariant
Class
Form

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Algebraic volume density property of affine algebraic manifolds. / Kaliman, Shulim; Kutzschebauch, Frank.

In: Inventiones Mathematicae, Vol. 181, No. 3, 2010, p. 605-647.

Research output: Contribution to journalArticle

Kaliman, Shulim ; Kutzschebauch, Frank. / Algebraic volume density property of affine algebraic manifolds. In: Inventiones Mathematicae. 2010 ; Vol. 181, No. 3. pp. 605-647.
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