Locally Finite and Locally Nilpotent Derivations with Applications to Polynomial Flows, Morphisms and Ga-actions
Title | Locally Finite and Locally Nilpotent Derivations with Applications to Polynomial Flows, Morphisms and Ga-actions PDF eBook |
Author | Arno van den Essen |
Publisher | |
Pages | |
Release | 1992 |
Genre | |
ISBN |
Locally finite and locally nilpotent derivations with applications to polynomial flows and polynomial morphisms
Title | Locally finite and locally nilpotent derivations with applications to polynomial flows and polynomial morphisms PDF eBook |
Author | Arno van den Essen |
Publisher | |
Pages | 12 |
Release | 1990 |
Genre | |
ISBN |
Locally finite and locally nilpotent derivations with applications to polynomial flows, morphisms and Ga-ctions
Title | Locally finite and locally nilpotent derivations with applications to polynomial flows, morphisms and Ga-ctions PDF eBook |
Author | Arno van den Essen |
Publisher | |
Pages | 17 |
Release | 1992 |
Genre | |
ISBN |
Algebraic Theory of Locally Nilpotent Derivations
Title | Algebraic Theory of Locally Nilpotent Derivations PDF eBook |
Author | Gene Freudenburg |
Publisher | Springer Science & Business Media |
Pages | 266 |
Release | 2007-07-18 |
Genre | Mathematics |
ISBN | 3540295232 |
This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings. The book also includes a wealth of pexamples and open problems.
Polynomial Automorphisms
Title | Polynomial Automorphisms PDF eBook |
Author | Arno van den Essen |
Publisher | Springer Science & Business Media |
Pages | 360 |
Release | 2000-09 |
Genre | Mathematics |
ISBN | 9783764363505 |
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
Title | Polynomial Automorphisms PDF eBook |
Author | Arno van den Essen |
Publisher | Birkhäuser |
Pages | 336 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3034884400 |
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.
Report
Title | Report PDF eBook |
Author | |
Publisher | |
Pages | 686 |
Release | 1993 |
Genre | Mathematics |
ISBN |