Automorphisms of Affine Spaces

Automorphisms of Affine Spaces edited by Arno van den Essen.

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 a...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: van den Essen, Arno (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1995.
Edition:1st ed. 1995.
Series:Springer eBook Collection.
Subjects:
Algebraic geometry.
Commutative algebra.
Commutative rings.
Differential equations.
Algorithms.
Partial differential equations.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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