The First Thirty Years of Andersén-Lempert Theory

Forstnerič, F.; Kutzschebauch, F. (2022). The First Thirty Years of Andersén-Lempert Theory. Analysis mathematica, 48(2), pp. 489-544. Springer 10.1007/s10476-022-0130-1

Text s10476-022-0130-1.pdf - Published Version Restricted to registered users only Available under License Publisher holds Copyright. Download (718kB) | Request a copy

In this paper we expose the impact of the fundamental discovery, made by Erik Andersen and László Lempert in 1992, that the group generated by shears is dense in the group of holomorphic automorphisms of a complex Euclidean space of dimension n > 1. In three decades since its publication, their groundbreaking work led to the discovery of several new phenomena and to major new results in complex analysis and geometry involving Stein manifolds and affine algebraic manifolds with many automorphisms. The aim of this survey is to present the focal points of these developments, with a view towards the future.

Interest & Impact

Downloads

1 since deposited on 15 Mar 2023
1 in the past 12 months

Citations

5 Citations in Web of Science ®
6 Citations in Scopus

Search

in Google Scholar™

Services

Actions (login required)

Edit item

Actions (login required)

Edit item