Cycles of polynomial mappings in two variables over rings of integers in quadratic fields
T. Pezda
Open Mathematics, Tome 2 (2004), p. 294-331 / Harvested from The Polish Digital Mathematics Library
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We find all possible cycle-lengths for polynomial mappings in two variables over rings of integers in quadratic extensions of rationals.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:268921 
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     author = {T. Pezda},
     title = {Cycles of polynomial mappings in two variables over rings of integers in quadratic fields},
     journal = {Open Mathematics},
     volume = {2},
     year = {2004},
     pages = {294-331},
     zbl = {1126.11057},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02476545}
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T. Pezda. Cycles of polynomial mappings in two variables over rings of integers in quadratic fields. Open Mathematics, Tome 2 (2004) pp. 294-331. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02476545/

[1] [Ba] G.Baron: preprint, 1990.

[2] [Bo] J.Boduch: MA thesis, The University of Wroclaw, Wroclaw, 1990.

[3] [Pe1] T.Pezda: “On cycles and orbits of polynomial mappings Z 2→Z 2”, Acta Mathematica et Informatica Universitatis Ostraviensis, Vol. 10, (2002), pp. 95–102. | Zbl 1057.11016

[4] [Pe2] T.Pezda: “Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals”, Acta Arith., Vol. 108, No. 2, (2003), pp. 127–146. http://dx.doi.org/10.4064/aa108-2-4 | Zbl 1020.11066

[5] [Pe3] T.Pezda: “Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals (II)”, submitted. | Zbl 1197.37143