Automorphisms of Affine Spaces - Rilegato

Rilegato

ISBN 10: 0792335236 ISBN 13: 9780792335238

Casa editrice: Springer-Verlag GmbH, 1995

Riassunto

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.

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Contenuti

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. Mañosas. 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.

Product Description

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Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 0792335236
• ISBN 13: 9780792335238
• Rilegatura: Copertina rigida
• Numero di pagine: 268
• Redattore: Essen Arno Van Den
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania