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" Automorphisms of affine spaces : "
edited by Arno van den Essen.
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BL
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771941
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b591934
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| Main Entry
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edited by Arno van den Essen.
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| Title & Author
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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)\ edited by Arno van den Essen.
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| Publication Statement
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Dordrecht : Springer Science+Business Media, B.V., 1995
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| ISBN
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904814566X
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: 9401585555
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: 9789048145669
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: 9789401585552
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| Contents
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I Polynomial Maps in Dimension n --; Seven Lectures on Polynomial Automorphisms --; The Jacobian Conjecture: Some Steps towards Solution --; Finite Automorphisms of Affine N-Space --; Polyomorphisms Conjugate to Dilations --; On Separable Algebras over a U.F.D. and the Jacobian Conjecture in Any Characteristic --; Global Injectivity of Polynomial Maps Via Vector Fields --; II Two-dimensional Results --; On the Markus-Yamabe Conjecture --; Derivations Generated by Polynomials, Their Images and Complements of the Images --; Normal Forms and the Jacobian Conjecture --; Radial Similarity of Newton Polygons --; An Algorithm that Determines whether a Polynomial Map is Bijective --; III Group Actions --; Algebraic Aspects of Additive Group Actions on Complex Affine Space --; Quotients of Algebraic Group Actions --; One-Parameter Subgroups and the Triangular Subgroup of the Affine Cremona Group --; A Note on Nagata's Automorphism --; IV Reactions on the conference --; On a Question of Yosef Stein --; A Counterexample to a Conjecture of Meisters --; Open Problems --; Some Conference Impressions.
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| Abstract
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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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| Subject
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Automorphisms -- Congresses.
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| Subject
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Geometry, Affine -- Congresses.
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Mathematics.
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| LC Classification
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QA477.E358 1995
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