The nature of manifolds of periodic points for higher dimensional integrable maps
Saito, Satoru ; Saitoh, Noriko
arXiv, 0508063 / Harvested from arXiv
Text on arXiv
By studying periodic points for rational maps on $\bm{C}^d$ with $p$ invariants, we show that they form an invariant variety of dimension $p$ if the periodicity conditions are `fully correlated', and a set of isolated points if the conditions are `uncorrelated'. We present many examples of the invariant varieties in the case of integrable maps. Moreover we prove that an invariant variety and a set of isolated points do not exist in one map simultaneously.
Publié le : 2005-08-31
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{0508063,
     author = {Saito, Satoru and Saitoh, Noriko},
     title = {The nature of manifolds of periodic points for higher dimensional
  integrable maps},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508063}
}

Saito, Satoru; Saitoh, Noriko. The nature of manifolds of periodic points for higher dimensional
  integrable maps. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508063/