Polynomial Automorphisms
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Polynomial Automorphisms
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Author : Arno van den Essen
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09
Polynomial Automorphisms written by Arno van den Essen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09 with Mathematics categories.
Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.
Polynomial Automorphisms
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Author : Arno van den Essen
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Polynomial Automorphisms written by Arno van den Essen and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.
Polynomial Automorphisms And The Jacobian Conjecture
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Author : Arno van den Essen
language : en
Publisher: Springer Nature
Release Date : 2021-03-31
Polynomial Automorphisms And The Jacobian Conjecture written by Arno van den Essen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-31 with Mathematics categories.
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.
Automorphisms Of Affine Spaces
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Author : Arno van den Essen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Automorphisms Of Affine Spaces written by Arno van den Essen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
Polynomial Automorphisms And Invariants
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Author : Arno R. P. van den Essen
language : en
Publisher:
Release Date : 2002
Polynomial Automorphisms And Invariants written by Arno R. P. van den Essen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Automorphisms Oftwo Generator Free Groups And Spaces Of Isometric Actions On The Hyperbolic Plane
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Author : William Goldman
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-06-10
Automorphisms Oftwo Generator Free Groups And Spaces Of Isometric Actions On The Hyperbolic Plane written by William Goldman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-10 with Automorphisms categories.
The automorphisms of a two-generator free group F acting on the space of orientation-preserving isometric actions of F on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not an orientation on that plane is an invariant subsystem, which reduces to an action of a group on by polynomial automorphisms preserving the cubic polynomial and an area form on the level surfaces .
Polynomial Automorphisms And Related Topics
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Author : Arnoldus Richardus Petrus van den Essen
language : en
Publisher:
Release Date : 2007
Polynomial Automorphisms And Related Topics written by Arnoldus Richardus Petrus van den Essen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Polynomial Automorphisms And Related Topics
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Author : Hyman Bass
language : en
Publisher:
Release Date : 2007
Polynomial Automorphisms And Related Topics written by Hyman Bass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Algebraic geometry categories.
A Characterization Of Semisimple Plane Polynomial Automorphisms
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Author : Stephan Maubach
language : en
Publisher:
Release Date : 2008
A Characterization Of Semisimple Plane Polynomial Automorphisms written by Stephan Maubach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Automorphisms In Birational And Affine Geometry
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Author : Ivan Cheltsov
language : en
Publisher: Springer
Release Date : 2014-06-11
Automorphisms In Birational And Affine Geometry written by Ivan Cheltsov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-11 with Mathematics categories.
The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics. Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference “Groups of Automorphisms in Birational and Affine Geometry” held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.