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Automorphisms of Affine Spaces: Proceedings of a Conference held in Curaçao (Netherlands Antilles), July 4–8, 1994, under auspices of the Caribbean Mathematical Foundation (CMF) /
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Catalogue Information
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Details
Dewey Class
516.35
Title
Automorphisms of Affine Spaces ([EBook] :) : Proceedings of a Conference held in Curaçao (Netherlands Antilles), July 4–8, 1994, under auspices of the Caribbean Mathematical Foundation (CMF) / / edited by Arno van den Essen.
Added Personal Name
Essen, Arno van den
editor.
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1995.
Physical Details
XX, 244 p. : online resource.
ISBN
9789401585552
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-015-8555-2
Links to Related Works
Subject References:
Algebraic Geometry
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Algorithms
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Commutative algebra
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Commutative rings
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Commutative Rings and Algebras
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Differential Equations
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Mathematics
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Ordinary differential equations
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Partial differential equations
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Authors:
Essen, Arno van den
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Corporate Authors:
SpringerLink (Online service)
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Classification:
516.35
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