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Polynomial Automorphisms and the Jacobian Conjecture : New Results from the Beginning of the 21st Century / by Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola
(Frontiers in Mathematics. ISSN:16608054)

Edition 1st ed. 2021.
Publisher (Cham : Springer International Publishing : Imprint: Birkhäuser)
Year 2021
Language English
Size XII, 189 p. 2 illus : online resource
Authors *van den Essen, Arno author
Kuroda, Shigeru author
Crachiola, Anthony J author
SpringerLink (Online service)
Subjects LCSH:Algebraic geometry
LCSH:Algebra
LCSH:Mathematics
FREE:Algebraic Geometry
FREE:Algebra
FREE:Mathematics
Notes 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
HTTP:URL=https://doi.org/10.1007/978-3-030-60535-3
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Springer eBooks 9783030605353
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Material Type E-Book
Classification LCC:QA564-609
DC23:516.35
ID 4000135521
ISBN 9783030605353

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