Criteria for the density property of complex manifolds

By S. Kaliman, F. Kutzschebauch. 2007

52 citations recorded by the source corpus.

In this paper we suggest new effective criteria for the density property. This enables us to give a trivial proof of the original Anders\'en-Lempert result and to establish (almost free of charge) the algebraic density property for all linear algebraic groups whose connected components are different from tori or $\C_+$. As another application of this approach we tackle the question (asked among others by F. Forstneri\v{c}) about the density of algebraic vector fields on Euclidean space vanishing on a codimension 2 subvariety.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d1c2c389300187024777e02fa8e71e1c59de92c6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. F. Kutzschebauch
2. S. Kaliman
3. H. Esnault

In Mathematical Physics

1. S. Kaliman
2. F. Kutzschebauch

Citations in the corpus

• On the present state of the Andersen-Lempert theory (2010, background): “In the sequence of papers ([70], [67], [68], [44], [45], [21]) the algebraic density property was established for a wide variety of affine algebraic manifolds, including all homogeneous spaces that coincide with quotients of linear algebraic groups with respect to their reductive subgroups provided ”