Remarks on the degree growth of birational transformations

Urech, Christian. (2016) Remarks on the degree growth of birational transformations. Preprints Fachbereich Mathematik, 2016 (19).

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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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebraische Geometrie (Blanc)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Urech, Christian
Item Type:Preprint
Publisher:Universität Basel
edoc DOI:
Last Modified:06 May 2019 22:54
Deposited On:28 Mar 2019 09:51

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