The nature of manifolds of periodic points for higher dimensional integrable maps II

2005/08/31 by Saito, Satoru, Saitoh, Noriko
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.math-ph/0508064

Abstract

We study periodicity conditions of a rational map on \bmC^d with p invariants and show that a set of isolated periodic points and an algebraic variety of finife dimension do not exist in one map simultaneously if p≥ d/2. We also discuss in detail how the transition takes place between them.

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