263 citations · 921 across the 24 of their papers we have counts for
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math.AG2019
On the degree growth of iterated birational maps
Claude M. Viallet
We construct a family of birational maps acting on two dimensional projective varieties, for which the growth of the degrees of the iterates is cubic. It is known that this growth…
nlin.SI2019★ 15 cited
Bi-rational maps in four dimensions with two invariants
G. Gubbiotti, N. Joshi, D. T. Tran +1
In this paper we present a class of four-dimensional bi-rational maps with two invariants satisfying certain constraints on degrees. We discuss the integrability properties of thes…