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Polynomial automorphisms and the Jacobian conjecture : new results from the beginning of the 21st Century / Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola.

9783030605353 (electronic bk.)
3030605353 (electronic bk.)
9783030605339 (print)
3030605337

Cham : Birkhäuser, 2021.

English

1 online resource (197 pages)

10.1007/978-3-030-60535-3 doi

QA174.2

516/.1

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed April 13, 2021).

Frontiers in mathematics.

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