Sets of polynomial rings in two variables and factorizations of polynomial morphisms
Langue
en
Article de revue
Ce document a été publié dans
Journal of Algebra. 2016, vol. 461, p. 129-163
Elsevier
Résumé en anglais
Let k be a field. We study infinite strictly descending sequences A0⊃A1⊃⋯ of rings where each Ai is a polynomial ring in two variables over k, the aim being to describe those sequences satisfying the property that their ...Lire la suite >
Let k be a field. We study infinite strictly descending sequences A0⊃A1⊃⋯ of rings where each Ai is a polynomial ring in two variables over k, the aim being to describe those sequences satisfying the property that their intersection is different from k . We give a complete answer in characteristic zero, and partial results in arbitrary characteristic. We apply those results to the study of dominant morphisms A2→An and their factorizations, where n∈{1,2} and An is the affine n-space over k.< Réduire
Mots clés en anglais
Affine plane
Polynomial morphism
Birational morphism
Polynomial ring
Rational polynomial
Field generator
Origine
Importé de halUnités de recherche