Polynomial Automorphisms and the Jacobian Conjecture : New Results from the Beginning of the 21st Century

1st ed. 2021

by Anthony J. Crachiola , Arno van den Essen , Shigeru Kuroda

Book Details

Format Paperback / Softback

Book Series Frontiers in Mathematics

ISBN-10 3030605337

ISBN-13 9783030605339

Edition 1st ed. 2021

Publisher Springer Nature Switzerland AG

Imprint Springer Nature Switzerland AG

Country of Manufacture GB

Country of Publication GB

Publication Date Mar 3rd, 2021

Print length 189 Pages

Product Classification: Algebra Algebraic geometry

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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.

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