Polynomial automorphisms and the Jacobian conjecture : new results from the beginning of the 21st Century /

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Bibliographic Details
Author / Creator:Essen, A. R. P. van den (Arnoldus Richardus Petrus van den), 1951-
Imprint:Cham : Birkhàˆuser, 2021.
Description:1 online resource (197 p.).
Language:English
Series:Frontiers in Mathematics
Frontiers in mathematics.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12611943
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Other authors / contributors:Kuroda, Shigeru.
Crachiola, Anthony J.
ISBN:9783030605353
3030605353
9783030605339
3030605337
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed April 13, 2021).
Summary: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.
Other form:Print version: van den Essen, Arno Polynomial Automorphisms and the Jacobian Conjecture Cham : Springer International Publishing AG,c2021 9783030605339
Standard no.:10.1007/978-3-030-60535-3