Polynomial Automorphisms and the Jacobian Conjecture

Beschreibung

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.
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.
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

Autor*in

Arno van den Essen

Themen in »Polynomial Automorphisms and the Jacobian Conjecture«

Abhyankar-Moh Theorem Cancellation Problem Dixmier Conjecture Face Polynomials Hilbert's 14th Problem Jacobian Conjecture Mathieu-Zhao Spaces Tame and Wild Automorphisms Tame Generators Problem

Stimmen zu »Polynomial Automorphisms and the Jacobian Conjecture«

Details

Link teilen