Polynomial automorphisms and the Jacobian conjecture : new results from the beginning of the 21st Century /
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Author / Creator: | Essen, A. R. P. van den (Arnoldus Richardus Petrus van den), 1951- |
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Imprint: | Cham : Birkhäuser, 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 |
Other authors / contributors: | Kuroda, Shigeru. Crachiola, Anthony J. |
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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 |
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