Boundedness results for periodic points on algebraic varieties

2002/12/16 by Najmuddin Fakhruddin · 2 citations
Mathematics · #math.NT #math.AG

paper · pdf

published as Proc. Indian Acad. Sci. Math. Sci. 111 (2001), no. 2, 173--178 · We correct a wrong remark in the published version of this paper by showing how the results of that paper can be extended to certain birational maps

arxiv created 2002/12/16 · arxiv updated 2009/11/30

Abstract

We prove that if f is a self-map of an algebraic variety over a field K, then under certain conditions on X, f and K the set of possible periods of K-valued periodic points of f is finite.

Cited by

• Upper Bounds on the Sizes of Finite Orbits for Unramified Morphisms
• Preperiodic points, finiteness, and structures of semigroups of algebraic morphisms

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