Kaliman, Shulim; Kutzschebauch, Frank (2010). Algebraic volume density property of affine algebraic manifolds. Inventiones mathematicae, 181(3), pp. 605-647. Berlin: Springer 10.1007/s00222-010-0255-x
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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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kutzschebauch, Werner Frank |
ISSN: |
0020-9910 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Factscience Import |
Date Deposited: |
04 Oct 2013 14:30 |
Last Modified: |
05 Dec 2022 14:09 |
Publisher DOI: |
10.1007/s00222-010-0255-x |
Web of Science ID: |
000279683600005 |
BORIS DOI: |
10.48350/11671 |
URI: |
https://boris.unibe.ch/id/eprint/11671 (FactScience: 217900) |
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