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Title Automorphisms of affine spaces : proceedings of a conference held in Curaçao (Netherlands Antilles), July 4-8, 1994, under the auspices of the Caribbean Mathematical Foundation (CMF) / edited by Arno van den Essen.

Published Dordrecht ; Boston : Kluwer Academic Publishers, [1995]
©1995

Copies

Location Call No. Status
 UniM ERC  516.4 AUTO    AVAILABLE
Physical description xix, 243 pages : illustrations ; 25 cm
Bibliography Includes bibliographical references and index.
Contents Seven Lectures on Polynomial Automorphisms / Arno van den Essen -- The Jacobian Conjecture: Some Steps Towards Solution / Ludwik Druzkowski -- Finite Automorphisms of Affine N-Space / Hanspeter Kraft and Gerald Schwarz -- Polyomorphisms Conjugate to Dilations / Gary Meisters -- On Separable Algebras Over a U.F.D. and the Jacobian Conjecture in Any Characteristic / Kossivi Adjainagbo -- Global Injectivity of Polynomial Maps Via Vector Fields / Anna Cima, Armengol Gasull, Jaume Llibre and Francesc Manosas -- On the Markus-Yamabe Conjecture / Robert Fessler -- Derivations Generated by Polynomials, Their Images and Complements of the Images / Yosef Stein -- Normal Forms and the Jacobian Conjecture / David Wright -- Radial Similarity of Newton Polygons / Charles Cheng and Stuart Wang -- An Algorithm That Determines Whether a Polynomial Map is Bijective / Charles Cheng and Stuart Wang.
Algebraic Aspects of Additive Group Actions on Complex Affine Space / James Deveney and David Finston -- Quotients of Algebraic Group Actions / Harm Derksen -- One-Parameter Subgroups and the Triangular Subgroup of the Affine Cremona Group / Gene Freudenburg -- A Note on Nagata's Automorphism / Jacques Alev -- On a Question of Yosef Stein / Hanspeter Kraft -- A Counterexample to a Conjecture of Meisters / Arno van den Essen.
Summary Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
Other author Essen, A. R. P. van den (Arnoldus Richardus Petrus van den), 1951-
Caribbean Mathematics Foundation.
Subject Automorphisms -- Congresses.
Geometry, Affine -- Congresses.
ISBN 0792335236 (acid-free paper)