Automorphisms of affine spaces : proceedings of a conference held in Curaçao (Netherlands Antilles), July 4-8, 1994, under auspices of the Caribbean Mathematics Foundation (CMF)
著者
書誌事項
Automorphisms of affine spaces : proceedings of a conference held in Curaçao (Netherlands Antilles), July 4-8, 1994, under auspices of the Caribbean Mathematics Foundation (CMF)
Kluwer Academic Publishers, c1995
大学図書館所蔵 全17件
内容説明・目次
内容説明
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.
目次
- 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.
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