Polynomial Automorphisms and the Jacobian Conjecture
New Results from the Beginning of the 21st Century
Published on 31. March 2021
XII, 189 pages
978-3-030-60535-3 (ISBN)
Description
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.
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.
More details
Series
Edition
1st ed. 2021
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XII, 189 p. 2 illus.
File size
2,89 MB
ISBN-13
978-3-030-60535-3 (9783030605353)
DOI
10.1007/978-3-030-60535-3
Schweitzer Classification
Other editions
Additional editions
Arno van den Essen | Shigeru Kuroda | Anthony J. Crachiola
Polynomial Automorphisms and the Jacobian Conjecture
New Results from the Beginning of the 21st Century
Book
03/2021
Birkhäuser
€58.84
Shipment within 7-9 days
Persons
Content
- 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.
