Remarks on the degree growth of birational transformations - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

Remarks on the degree growth of birational transformations

Résumé

We look at sequences of positive integers that can be realized as degree sequences of iterates of rational dominant maps of smooth projective varieties over arbitrary fields. New constraints on the degree growth of endomorphisms of the affine space and examples of degree sequences are displayed. We also show that the set of all degree sequences of rational maps is countable; this generalizes a result of Bonifant and Fornaess.

Dates et versions

hal-01355792 , version 1 (24-08-2016)

Identifiants

Citer

Christian Urech. Remarks on the degree growth of birational transformations. 2016. ⟨hal-01355792⟩
117 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More