A R P Van den Essen

Automorphisms of Affine Spaces: Proceedings of a Conference Held in Curacao (Netherlands Antilles) July 4-8, 1994, Under Auspices of the Caribbean Mathematical Foundation (Cmf) A R P Van den Essen

Marc Notes: Includes bibliographical references and index. Table of Contents: 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; G. Meisters. On Separable Algebras over a U. F. D. and the Jacobian Conjecture in Any Characteristic; K. Adjamagbo. Global Injectivity of Polynomial Maps via Vector Fields; A. Cima, A. Gasull, J. L. Libre, F. Manosas. II: Two-Dimensional Results. On the Markus Conjecture; R. Fessler. Derivations Generated by Polynomials, Their Images and Complements of the Images; Y. Stein. Normal Forms and the Jacobian Conjecture; D. Wright. Radial Similarity of Newton Polygons; C. Cheng, S. Wang. An Algorithm that Determines whether a Polynomial Map is Bijective; C. Cheng, S. Wang. III: Group Actions. Algebraic Aspects of Additive Group Actions on Complex Affine Space; J. Deveney, D. Finston. Quotients of Algebraic Group Actions; H. Derksen. One-Parameter Subgroups and the Triangular Subgroup of the Affine Cremona Group; G. Freudenburg. A Note on Nagata's Automorphism; J. Alev. IV: Reactions on the Conference. On a Question of Yosef Stein; H. Kraft. A Counterexample to a Conjecture of Meisters; A. van den Essen. Appendix. Open Problems. Some Conference Impressions."Publisher Marketing: This work 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.