Algebraic volume density property of affine algebraic manifolds

Details Algebraic volume density property of affine algebraic manifolds Algebraic volume density property of affine algebraic manifolds

2009-08-17

arxiv.org/abs/0908.2416v1

Mathematics

Complex Variables

35 pages

Scientific paper

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 $\C^n$ equipped with a canonical volume form, the other is the class of all Linear Algebraic Groups equipped with the left invariant volume form.

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