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.
On Birational Transformations of Pairs in the Complex Plane
Algebraic structures of groups of birational transformations
Simple groups of birational transformations in dimension two
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