Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties (1604.04174v3)

Published 14 Apr 2016 in math.NT, math.AG, and math.DS

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 dynamical degree is equal to the arithmetic degree at a rational 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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Authors (1)

Kaoru Sano

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