Automorphisms of Affine Spaces
Published on 1. December 2010
Book
Paperback/Softback
XX, 244 pages
978-90-481-4566-9 (ISBN)
Description
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.
Audience : A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
More details
Edition
Softcover reprint of hardcover 1st ed. 1995
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XX, 244 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
406 gr
ISBN-13
978-90-481-4566-9 (9789048145669)
DOI
10.1007/978-94-015-8555-2
Schweitzer Classification
Other editions
Additional editions
Arno van den Essen
Automorphisms of Affine Spaces
Book
06/1995
Kluwer Academic Publishers
€106.99
Shipment within 15-20 days
Content
I Polynomial Maps in Dimension n.- Seven Lectures on Polynomial Automorphisms.- The Jacobian Conjecture: Some Steps towards Solution.- Finite Automorphisms of Affine N-Space.- Polyomorphisms Conjugate to Dilations.- On Separable Algebras over a U.F.D. and the Jacobian Conjecture in Any Characteristic.- Global Injectivity of Polynomial Maps Via Vector Fields.- II Two-dimensional Results.- On the Markus-Yamabe Conjecture.- Derivations Generated by Polynomials, Their Images and Complements of the Images.- Normal Forms and the Jacobian Conjecture.- Radial Similarity of Newton Polygons.- An Algorithm that Determines whether a Polynomial Map is Bijective.- III Group Actions.- Algebraic Aspects of Additive Group Actions on Complex Affine Space.- Quotients of Algebraic Group Actions.- One-Parameter Subgroups and the Triangular Subgroup of the Affine Cremona Group.- A Note on Nagata's Automorphism.- IV Reactions on the conference.- On a Question of Yosef Stein.- A Counterexample to a Conjecture of Meisters.- Open Problems.- Some Conference Impressions.