Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century (Frontiers in Mathematics)

Van Den Essen, Arno; Kuroda, Shigeru; Crachiola, Anthony J.

ISBN 10: 3030605337 / ISBN 13: 9783030605339

Published by Birkhäuser, 2021

In. Seller Inventory # ria9783030605339_new

Synopsis:

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.

From the Back Cover:

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.

Bibliographic Details

Title: Polynomial Automorphisms and the Jacobian ...
Publisher: Birkhäuser
Publication Date: 2021
Binding: Soft cover
Condition: New