Zariski Density of Points with Maximal Arithmetic Degree
نویسندگان
چکیده
Given a dominant rational self-map on projective variety over number field, we can define the arithmetic degree at point. It is known that any point less than or equal to first dynamical degree. In this paper, show there are densely many Q‾-rational points with maximal (i.e., whose degree) for self-morphisms varieties. For unirational varieties and Abelian varieties, sufficiently large field. We also give generalization of result Kawaguchi Silverman in Appendix.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2023
ISSN: ['0026-2285', '1945-2365']
DOI: https://doi.org/10.1307/mmj/20205960