Algebraic volume density property of affine algebraic manifolds

• 成果类型: Article
• 署名作者: Kaliman, Shulim; Kutzschebauch, Frank
• 署名单位: University of Miami; University of Bern
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0255-x
• 发表日期: 2010
• 页码: 605-647
• 关键词: holomorphic diffeomorphisms; complex-manifolds; hypersurfaces; AUTOMORPHISMS

摘要

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 a, (n) equipped with a canonical volume form, the other is the class of all Linear Algebraic Groups equipped with the left invariant volume form.