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

Liang-Chung Hsia

Compositio Mathematica (1996)

  • Volume: 100, Issue: 3, page 277-304
  • ISSN: 0010-437X

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Hsia, Liang-Chung. "A weak Néron model with applications to $p$-adic dynamical systems." Compositio Mathematica 100.3 (1996): 277-304. <http://eudml.org/doc/90430>.

@article{Hsia1996,
author = {Hsia, Liang-Chung},
journal = {Compositio Mathematica},
keywords = {-adic dynamical systems; finite morphism; weak Néron model; Julia set},
language = {eng},
number = {3},
pages = {277-304},
publisher = {Kluwer Academic Publishers},
title = {A weak Néron model with applications to $p$-adic dynamical systems},
url = {http://eudml.org/doc/90430},
volume = {100},
year = {1996},
}

TY - JOUR
AU - Hsia, Liang-Chung
TI - A weak Néron model with applications to $p$-adic dynamical systems
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 100
IS - 3
SP - 277
EP - 304
LA - eng
KW - -adic dynamical systems; finite morphism; weak Néron model; Julia set
UR - http://eudml.org/doc/90430
ER -

References

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  3. 3 Bosch, S., Lütkebohmert, W.: Stable reduction and uniformization of abelian varieties I. Math. Ann.270 (1985) 349-379. Zbl0554.14012MR774362
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  5. 5 Bosch, S., Lütkebohmert, W.: Formal and rigid geometry. Math. Ann.295 (1993) 291-317. Zbl0808.14017MR1202394
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  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

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