Algebraic volume density property of affine algebraic manifolds

Shulim Kaliman, Frank Kutzschebauch

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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
Issue number3
StatePublished - 2010

ASJC Scopus subject areas

  • Mathematics(all)


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