A remark on periodic points on varieties over a field of finite type over Q

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78488Let M be a field of finite type over {\bf Q} and X a variety defined over M. We study when the set {P \in X(K) \mid f^{\circ n} (P) = P for some n \geq 1} is finite for any finite extension fields K of M and for any dominant K-morphisms f : X \to X with deg f \geq 2.Algebraic GeometryNumber Theory14G05;11G99A remark on periodic points on varieties over a field of finite type over Qtext