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Dynamical invariants of monomial correspondences

Published online by Cambridge University Press:  02 June 2020

NGUYEN-BAC DANG
Affiliation:
Stony Brook University, Institute of Mathematical Sciences, Stony Brook, NY 11794, USA email nguyen-bac.dang@stonybrook.edu
ROHINI RAMADAS
Affiliation:
Brown University, 219 Kassar House, 151 Thayer Street, Providence, RI 02912, USA email rohini_ramadas@brown.edu

Abstract

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

Type
Original Article
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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