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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...
Autores principales: | , , |
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Lenguaje: | eng |
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Springer
2021
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-3-030-60535-3 http://cds.cern.ch/record/2763335 |
_version_ | 1780970903481352192 |
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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. |
id | cern-2763335 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2021 |
publisher | Springer |
record_format | invenio |
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 |
work_keys_str_mv | AT vandenessenarno polynomialautomorphismsandthejacobianconjecturenewresultsfromthebeginningofthe21stcentury AT kurodashigeru polynomialautomorphismsandthejacobianconjecturenewresultsfromthebeginningofthe21stcentury AT crachiolaanthonyj polynomialautomorphismsandthejacobianconjecturenewresultsfromthebeginningofthe21stcentury |