2010/11/23 by Benjamin Hutz, Hutz, Benjamin
Computer Science · Mathematics · #37P35 #37P55 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #math.DS #math.NT #msc:37P35 #msc:37P55
paper · pdf · doi:10.48550/arxiv.1011.5155
to appear Proceedings of the AMS
openalex publication_date 2010/11/23 · arxiv created 2011/04/14 · arxiv updated 2011/04/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
Given an endomorphism of a projective variety, by intersecting the graph and the diagonal varieties we can determine the set of periodic points. In an effort to determine the periodic points of a given minimal period, we follow a construction similar to cyclotomic polynomials. The resulting zero-cycle is called a dynatomic cycle and the points in its support are called formal periodic points. This article gives a proof of the effectivity of dynatomic cycles for morphisms of projective varieties using methods from deformation theory.