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arXiv · 0710.3864

Criteria for the density property of complex manifolds

Shulim Kaliman·Frank Kutzschebauch
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Abstract

In this paper we suggest new effective criteria for the density property. This enables us to give a trivial proof of the original Andersén-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. Forstnerič) about the density of algebraic vector fields on Euclidean space vanishing on a codimension 2 subvariety.

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Shulim Kaliman, Frank Kutzschebauch. 2007-10-20. Criteria for the density property of complex manifolds. https://doi.org/10.1007/s00222-007-0094-6

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