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

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...

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Detalles Bibliográficos
Autores principales: van den Essen, Arno, Kuroda, Shigeru, Crachiola, Anthony J
Lenguaje:eng
Publicado: Springer 2021
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-60535-3
http://cds.cern.ch/record/2763335
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author van den Essen, Arno
Kuroda, Shigeru
Crachiola, Anthony J
author_facet van den Essen, Arno
Kuroda, Shigeru
Crachiola, Anthony J
author_sort van den Essen, Arno
collection CERN
description 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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spelling cern-27633352021-04-21T16:38:34Zdoi:10.1007/978-3-030-60535-3http://cds.cern.ch/record/2763335engvan den Essen, ArnoKuroda, ShigeruCrachiola, Anthony JPolynomial automorphisms and the Jacobian conjecture: new results from the beginning of the 21st centuryMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:27633352021
spellingShingle Mathematical Physics and Mathematics
van den Essen, Arno
Kuroda, Shigeru
Crachiola, Anthony J
Polynomial automorphisms and the Jacobian conjecture: new results from the beginning of the 21st century
title Polynomial automorphisms and the Jacobian conjecture: new results from the beginning of the 21st century
title_full Polynomial automorphisms and the Jacobian conjecture: new results from the beginning of the 21st century
title_fullStr Polynomial automorphisms and the Jacobian conjecture: new results from the beginning of the 21st century
title_full_unstemmed Polynomial automorphisms and the Jacobian conjecture: new results from the beginning of the 21st century
title_short Polynomial automorphisms and the Jacobian conjecture: new results from the beginning of the 21st century
title_sort polynomial automorphisms and the jacobian conjecture: new results from the beginning of the 21st century
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-60535-3
http://cds.cern.ch/record/2763335
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AT kurodashigeru polynomialautomorphismsandthejacobianconjecturenewresultsfromthebeginningofthe21stcentury
AT crachiolaanthonyj polynomialautomorphismsandthejacobianconjecturenewresultsfromthebeginningofthe21stcentury