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

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Kutzschebauch, Werner Frank

Subjects:

500 Science > 510 Mathematics

ISSN:

0133-3852

Publisher:

Springer

Language:

English

Submitter:

Zarif Ibragimov

Date Deposited:

15 Mar 2023 07:44

Last Modified:

15 Mar 2023 23:28

Publisher DOI:

10.1007/s10476-022-0130-1

BORIS DOI:

10.48350/180029

URI:

https://boris.unibe.ch/id/eprint/180029

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