Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century
Author:   Arno van den Essen ,  Shigeru Kuroda ,  Anthony J. Crachiola
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
ISBN:  

9783030605339


Pages:   189
Publication Date:   03 March 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century


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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.

Full Product Details

Author:   Arno van den Essen ,  Shigeru Kuroda ,  Anthony J. Crachiola
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   0.454kg
ISBN:  

9783030605339


ISBN 10:   3030605337
Pages:   189
Publication Date:   03 March 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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