A weak Néron model with applications to $p$-adic dynamical systems

 Access to full text

 Full (PDF)

1. 1 Beardon, A.F.: Iteration of rational functions: complex analytic dynamical systems, New York: Springer-Verlag1991. Zbl1120.30300MR1128089
2. 2 Bosch, S., Lütkebohmert, W., Raynaud, M.: Néron Models, Berlin: Springer-Verlag1990. Zbl0705.14001MR1045822
3. 3 Bosch, S., Lütkebohmert, W.: Stable reduction and uniformization of abelian varieties I. Math. Ann.270 (1985) 349-379. Zbl0554.14012MR774362
4. 4 Bosch, S., Lütkebohmert, W.: Néron models from the rigid analytic viewpoint. J. reine Angew Math.364 (1986) 69-84. Zbl0568.14024MR817639
5. 5 Bosch, S., Lütkebohmert, W.: Formal and rigid geometry. Math. Ann.295 (1993) 291-317. Zbl0808.14017MR1202394
6. 6 Call, G., Silverman, J.H.: Canonical heights on varieties with morphisms. Compositio Math. volume89 (1993) 163-205. Zbl0826.14015MR1255693
7. 7 Davaney, R.L.: An introduction to chaotic dynamical systems. New York: Addison Wesley. Zbl0695.58002
8. 8 Ega I:La langage des schémas. Publ. Math. IHES4 (1960). 
9. 9 EgaIV: Etude local des schémas et des morphismes de schémas. Publ. Math. IHES32 (1967). 
10. 10 Hartshorne, R.: Algebraic Geometry. New York: Springer-Verlag, 1977. Zbl0367.14001MR463157
11. 11 Lichtenbaum, S.: Curves over discrete valuation ring. Am. J. Math.90 (1968) 380-405. Zbl0194.22101MR230724
12. 12 Morton, P., Silverman, J.H.: Periodic points, multiplicities, and dynamical units, J. Reine Angew. Math.461 (1995), 81-122. Zbl0813.11059MR1324210
13. 13 Mumford, D.: An analytic construction of degenerate curves over complete local fields. Compositio Math.24 (1971) 129-174. Zbl0228.14011MR352105
14. 14 Mumford D.: Abelian varieties. Oxford University Press1974. Zbl0326.14012
15. 15 Rumley, R.S.: Capacity theory on algebraic curves, volume 1378 of Lecture Notes in Math. Berlin: Springer-Verlag, 1989. Zbl0679.14012MR1009368
16. 16 Serre, J.P.: Trees, Springer-Verlag, Berlin- Heidelberg-New York1980. Zbl0548.20018MR607504
17. 17 SGA I: Revêtements etales et groupe fondamental. Lect. Notes Math.224, Springer, Berlin, Heideberg, New York (1971). Zbl0234.14002MR354651
18. 18 Tate, J.: Rigid analytic spaces. Invent. Math.12 (1971) 257-289. Zbl0212.25601MR306196

1. Robert Benedetto, Jean-Yves Briend, Hervé Perdry, Dynamique des polynômes quadratiques sur les corps locaux
2. Jean-Paul Bézivin, Sur les ensembles de Julia et Fatou des fonctions entières ultramétriques