Polynomial Automorphisms and the Jacobian Conjecture New Results from the Beginning of the 21st Century

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Synopsis

This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000.  Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the Jacobian Conjecture, the theory of Mathieu-Zhao spaces and counterexamples to the Cancellation problem in positive characteristic. These and many more results are discussed in detail in this work.The book is aimed at graduate students and researchers in the field of Affine Algebraic Geometry. Exercises are included at the end of each section.

Book details

Edition:
1st ed. 2021
Series:
Frontiers in Mathematics (Book 190)
Author:
Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola
ISBN:
9783030605353
Related ISBNs:
9783030605339
Publisher:
Springer International Publishing
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2021-04-01
Usage restrictions:
Copyright
Copyright date:
2021
Copyright by:
The Editor 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction