Automorphisms of Affine Spaces [Paperback]

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.
Proceedings of a Conference held in Cura?ao (Netherlands Antilles), July 4--8, 1994, under auspices of the Caribbean Mathematical Foundation (CMF)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.
Director's Preface. Foreword. I: Polynomial Maps in Dimension n. Seven Lectures on Polynomial Automorphisms; A. van den Essen. The Jacobian Conjecture: Some Steps Towards Solution; L. Druzkowski. Finite Automorphisms of Affine N-Space; H. Kraft, G. Schwarz. Polymorphisms Conjugate to Dilations; Gls•