DYNAMICAL DEGREES OF BIRATIONAL TRANSFORMATIONS OF PROJECTIVE SURFACES
Résumé
The dynamical degree λ(f) of a birational transformation f measures the exponential growth rate of the degree of the formulae that define the n-th iterate of f. We study the set of all dynamical degrees of all bi-rational transformations of projective surfaces, and the relationship between the value of λ(f) and the structure of the conjugacy class of f. For instance, the set of all dynamical degrees of birational transformations of the complex projective plane is a closed and well ordered set of algebraic numbers.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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