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Polynomial Automorphisms on Hardback by Arno van den Essen
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Polynomial Automorphisms

and the Jacobian Conjecture
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Description

Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.
Release date Australia
September 1st, 2000
Audience
  • Professional & Vocational
Illustrations
XVIII, 329 p.
Pages
329
ISBN-13
9783764363505
Product ID
27141310

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Polynomial Automorphisms and the Jacobian Conjecture by Arno van den Essen
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