On certain algebraic curves related to polynomial maps
Morton, Patrick
Compositio Mathematica, Tome 104 (1996), p. 319-350 / Harvested from Numdam
Publié le : 1996-01-01
@article{CM_1996__103_3_319_0,
     author = {Morton, Patrick},
     title = {On certain algebraic curves related to polynomial maps},
     journal = {Compositio Mathematica},
     volume = {104},
     year = {1996},
     pages = {319-350},
     mrnumber = {1414593},
     zbl = {0860.11065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1996__103_3_319_0}
}
Morton, Patrick. On certain algebraic curves related to polynomial maps. Compositio Mathematica, Tome 104 (1996) pp. 319-350. http://gdmltest.u-ga.fr/item/CM_1996__103_3_319_0/

1 Armstrong, M.A.: Groups and Symmetry, Springer Verlag, New York, 1988. | MR 965514 | Zbl 0663.20001

2 Batra, A. and Morton, P.: Algebraic dynamics of polynomial maps on the algebraic closure of a finite field, I, Rocky Mountain J. of Math. 24 (1994), 453-481. | MR 1277338 | Zbl 0810.11071

3 Bousch, T.: Sur Quelques Problèmes de Dynamique Holomorphe, These, Universite de Paris-Sud, Centre d' Orsay, 1992.

4 Branner, B.: The Mandelbrot set, in Chaos and Fractals, R. L. Devaney and L. Keen, eds., AMS Publications, Providence, R.I., 1989, pp. 75-105. | MR 1010237

5 Douady, A. and Hubbard, J.H.: Etude Dynamique des Polynomes Complex, I, II, Publications Mathematiques d'Orsay, Universite de Paris-Sud, 1984. | MR 762431 | Zbl 0552.30018

6 Eichler, M.: Einführung in die Theorie der algebraischen Zahlen und Funktionen, Birkhäuser Verlag, Basel, 1963. | MR 168561 | Zbl 0152.19501

7 Faltings, G.: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math. 73 (1983), 349-366. | MR 718935 | Zbl 0588.14026

8 Flynn, V., Poonen, B. and Schaefer, E.: Cycles of quadratic polynomials and rational points on a genus 2 curve, submitted. | Zbl 0958.11024

9 Hasse, H.: Zahlentheorie, Akademie Verlag, Berlin, 1969. | MR 253972 | Zbl 1038.11501

10 Lau, E. and Schleicher, D.: Internal addreses in the Mandelbrot set and irreducibility of polynomials, SUNY Stony Brook, Institute for Mathematical Sciences, Preprint #1994/19.

11 Morton, P.: Characterizing cyclic cubic extensions by automorphism polynomials, J. Number Theory 49 (1994), 183-208. | MR 1305089 | Zbl 0810.12003

12 Morton, P.: Arithmetic properties of periodic points of quadratic maps, II, preprint, Wellesley College, 1994. | MR 1665198

13 Morton, P. and Patel, P.: The Galois theory of periodic points of polynomial maps, Proc. London Math. Soc. (3) 68 (1994), 225-263. | MR 1253503 | Zbl 0792.11043

14 Morton, P. and Silverman, J.: Periodic points, multiplicities and dynamical units, J. reine angew. Math. 461 (1995), 81-122. | MR 1324210 | Zbl 0813.11059

15 Morton, P. and Vivaldi, F.: Bifurcations and discriminants for polynomial maps, Nonlinearity 8 (1995), 571-584. | MR 1342504 | Zbl 0827.12001

16 Schleicher, D.: Internal addresses in the Mandelbrot set and irreducibility of polynomials, Ph.D. Dissertion, Cornell University, 1994.

17 Silverman, J.H.: The Arithmetic of Elliptic Curves, Springer-Verlag, New York, 1986. | MR 817210 | Zbl 0585.14026

18 Stichtenoth, H.: Algebraic Function Fields and Codes, Universitext Series, Springer-Verlag, Berlin, 1993. | MR 1251961 | Zbl 0816.14011

19 Vivaldi, F. and Hatjispyros, S.: Galois theory of periodic orbits of polynomial maps, Nonlinearity 5 (1992), 961-978. | MR 1174226 | Zbl 0767.11049