Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century - Frontiers in Mathematics - Arno Van den Essen - Books - Springer Nature Switzerland AG - 9783030605339 - March 3, 2021
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Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century - Frontiers in Mathematics 1st ed. 2021 edition

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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.


189 pages, 2 Illustrations, black and white; XII, 189 p. 2 illus.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released March 3, 2021
ISBN13 9783030605339
Publishers Springer Nature Switzerland AG
Pages 189
Dimensions 150 × 220 × 10 mm   ·   454 g
Language German  

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