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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: Polynomial Automorphisms
• Subtitle: and the Jacobian Conjecture
• Author: Arno van den Essen
• Language: English
• Binding: Hardback
• Number of pages: 329
• EAN: 9783764363505
• ISBN: 3764363509
• ID: 05289187
• Publisher: Birkhauser Verlag AG
• Weight: 720 g
• Dimensions: 235 × 155 × 25 mm
• Date of publishing: 01. September 2000

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