Polynomial Automorphisms and the Jacobian Conjecture, 1st ed. 2021 New Results from the Beginning of the 21st Century Frontiers in Mathematics Series
Langue : Anglais
Auteurs : van den Essen Arno, Kuroda Shigeru, Crachiola Anthony J.
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 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.
This book, the first in its field to write about polynomial automorphisms
It is the first book containing the latest results concerning polynomial automorphisms
It gives detailed accounts by leading researchers in the field
Date de parution : 03-2021
Ouvrage de 189 p.
16.8x24 cm
Thème de Polynomial Automorphisms and the Jacobian Conjecture :
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