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

Satoru Saito, Noriko Saitoh

math-pharXiv:math-ph/0508064

Abstract

We study periodicity conditions of a rational map on Cd 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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