Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century
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.
"1137574511"
Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century
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.
59.99 In Stock
Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century

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

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

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

Paperback(1st ed. 2021)

$59.99 
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Overview

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.

Product Details

ISBN-13: 9783030605339
Publisher: Springer International Publishing
Publication date: 03/03/2021
Series: Frontiers in Mathematics
Edition description: 1st ed. 2021
Pages: 189
Product dimensions: 6.61(w) x 9.45(h) x (d)

Table of Contents

- The Shestakov–Umirbaev Theory and Nagata’s Conjecture. - Counterexamples to Hilbert’s Fourteenth Problem. - Prime Characteristic Methods and the Cancellation Problem. - The Jacobian Conjecture: New Equivalences. - Mathieu–Zhao Spaces.
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