Boundedness for periodic points on proper varieties, by Najmuddin Fakhruddin

We prove that for any morphism f of a proper variety X over a fintely generated field K over Q to itself, there exists an integer n such that f^n is the identity on the set of periodic points in X(K). Under some extra hypotheses, we also prove a similar result for p-adic fields.

Najmuddin Fakhruddin <nfakh@bom2.vsnl.net.in>