Algebraic volume density property of affine algebraic manifolds

Shulim Kaliman; Frank Kutzschebauch

doi:10.1007/s00222-010-0255-x

Algebraic volume density property of affine algebraic manifolds

Shulim Kaliman, Frank Kutzschebauch

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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 language	English (US)
Pages (from-to)	605-647
Number of pages	43
Journal	Inventiones Mathematicae
Volume	181
Issue number	3
DOIs	https://doi.org/10.1007/s00222-010-0255-x
State	Published - 2010

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s00222-010-0255-x

Fingerprint Dive into the research topics of 'Algebraic volume density property of affine algebraic manifolds'. Together they form a unique fingerprint.

Cite this

@article{2edc4bc4611844ba8b7f272870aac977,

title = "Algebraic volume density property of affine algebraic manifolds",

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.",

author = "Shulim Kaliman and Frank Kutzschebauch",

year = "2010",

doi = "10.1007/s00222-010-0255-x",

language = "English (US)",

volume = "181",

pages = "605--647",

journal = "Inventiones Mathematicae",

issn = "0020-9910",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Algebraic volume density property of affine algebraic manifolds

AU - Kaliman, Shulim

AU - Kutzschebauch, Frank

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77954458391&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954458391&partnerID=8YFLogxK

U2 - 10.1007/s00222-010-0255-x

DO - 10.1007/s00222-010-0255-x

M3 - Article

AN - SCOPUS:77954458391

VL - 181

SP - 605

EP - 647

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

SN - 0020-9910

IS - 3

ER -