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Polynomial automorphisms and the Jac...

Crachiola, Anthony J.

Polynomial automorphisms and the Jacobian conjecturenew results from the beginning of the 21st century /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Polynomial automorphisms and the Jacobian conjectureby Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola.
Reminder of title:	new results from the beginning of the 21st century /
Author:	Essen, Arno van den.
other author:	Kuroda, Shigeru.
Published:	Cham :Springer International Publishing :2021.
Description:	xii, 189 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Automorphisms.
Online resource:	https://doi.org/10.1007/978-3-030-60535-3
ISBN:	9783030605353$q(electronic bk.)

Polynomial automorphisms and the Jacobian conjecturenew results from the beginning of the 21st century /
Essen, Arno van den.

Polynomial automorphisms and the Jacobian conjecturenew results from the beginning of the 21st century /[electronic resource] :by Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola. - Cham :Springer International Publishing :2021. - xii, 189 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

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.

ISBN: 9783030605353$q(electronic bk.)

Standard No.: 10.1007/978-3-030-60535-3doiSubjects--Topical Terms:

209310
Automorphisms.

LC Class. No.: QA564 / .E874 2021

Dewey Class. No.: 516.1

Polynomial automorphisms and the Jacobian conjecturenew results from the beginning of the 21st century /
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245 1 0 $a Polynomial automorphisms and the Jacobian conjecture $h [electronic resource] : $b new results from the beginning of the 21st century / $c by Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2021.
300 $a xii, 189 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8046
520 $a 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.
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650 2 4 $a Mathematics, general. $3 274849
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700 1 $a Crachiola, Anthony J. $3 893993
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