Polynomial Automorphisms: And the Jacobi Conjecture

Polynomial Automorphisms: And the Jacobi Conjecture (Hardcover)

By Arno Van Den Essen 
R 9,285
Publisher: Birkhauser
Edition: Hardcover
Language: English
ISBN: 3764363509
EAN: 9783764363505
No. of Units: 1
No. of Pages: 329
Publish Date: 2000-09-01
Binding: Hardcover
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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 Grobner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book."
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Specification

Title: Polynomial Automorphisms: And the Jacobi Conjecture
Publisher: Birkhauser
Author: Arno Van Den Essen
Edition: Hardcover
Language: English
ISBN: 3764363509
EAN: 9783764363505
No. of Units: 1
No. of Pages: 329
Publish Date: 2000-09-01
Binding: Hardcover

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