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2020 Dynamical degree and arithmetic degree of endomorphisms on product varieties
Kaoru Sano
Tohoku Math. J. (2) 72(1): 1-13 (2020). DOI: 10.2748/tmj/1585101618

Abstract

For a dominant rational self-map on a smooth projective variety defined over a number field, Shu Kawaguchi and Joseph H. Silverman conjectured that the (first) dynamical degree is equal to the arithmetic degree at an algebraic point whose forward orbit is well-defined and Zariski dense. We give some examples of self-maps on product varieties and rational points on them for which the Kawaguchi-Silverman conjecture holds.

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Kaoru Sano. "Dynamical degree and arithmetic degree of endomorphisms on product varieties." Tohoku Math. J. (2) 72 (1) 1 - 13, 2020. https://doi.org/10.2748/tmj/1585101618

Information

Published: 2020
First available in Project Euclid: 25 March 2020

zbMATH: 07199984
MathSciNet: MR4079421
Digital Object Identifier: 10.2748/tmj/1585101618

Subjects:
Primary: 37P55
Secondary: 11G50

Rights: Copyright © 2020 Tohoku University

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Vol.72 • No. 1 • 2020
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