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arXiv · 1604.04174

Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties

Kaoru Sano
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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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Kaoru Sano. 2018-05-09. Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties. https://doi.org/10.2140/ant.2018.12.1635

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