Dynamical invariants of monomial correspondences

2019/05/13 by Dang, Nguyen-Bac, Ramadas, Rohini · 1 citation
#14H10 #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.05026

Abstract

We focus on various dynamical invariants associated to toric correspondences, using algebraic geometry or arithmetic. We find a formula for the dynamical degrees, relate the exponential growth of the degree sequences with a strict log-concavity condition on the dynamical degrees and compute the asymptotic ratio of the growth of heights of points of such correspondences.

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• On the generating series of the degree sequence

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