On the Néron model of jacobians of Shimura curves

Bruce W. Jordan; Ron A. Livné

Compositio Mathematica (1986)

  • Volume: 60, Issue: 2, page 227-236
  • ISSN: 0010-437X

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Jordan, Bruce W., and Livné, Ron A.. "On the Néron model of jacobians of Shimura curves." Compositio Mathematica 60.2 (1986): 227-236. <http://eudml.org/doc/89806>.

@article{Jordan1986,
author = {Jordan, Bruce W., Livné, Ron A.},
journal = {Compositio Mathematica},
keywords = {connected components; indefinite quaternion algebra; Shimura curve; Néron model of the Jacobian; Bruhat-Tits building},
language = {eng},
number = {2},
pages = {227-236},
publisher = {Martinus Nijhoff Publishers},
title = {On the Néron model of jacobians of Shimura curves},
url = {http://eudml.org/doc/89806},
volume = {60},
year = {1986},
}

TY - JOUR
AU - Jordan, Bruce W.
AU - Livné, Ron A.
TI - On the Néron model of jacobians of Shimura curves
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 2
SP - 227
EP - 236
LA - eng
KW - connected components; indefinite quaternion algebra; Shimura curve; Néron model of the Jacobian; Bruhat-Tits building
UR - http://eudml.org/doc/89806
ER -

References

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  1. [1] P. Deligne and M. Rapoport: Schémas de modules des courbes elliptiques, Vol. II of the Proceedings of the International Summer School on Modular Functions, Antwerp (1972), Lectures Notes in Mathematics, No. 349. Berlin-Heidelberg-New York, Springer-Verlag (1973). Zbl0281.14010MR337993
  2. [2] V.G. Drinfeld: Coverings of p-adic symmetric regions (in Russian). Functional Anal. i Prilozen, 10 (1976) 29-40.Functional Anal. Appl.10 (1976) 107-115. Zbl0346.14010MR422290
  3. [3] M. Eichler: Zur Zahlentheorie der Quaternion-Algebren. Crelle J., 195 (1955) 127-151. Zbl0068.03303MR80767
  4. [4] B. Jordan and R. Livné: Local diophantine properties of Shimura curves. Math. Ann., 270 (1985) 235-248. Zbl0536.14018MR771981
  5. [5] A. Kurihara: On some examples of equations defining Shimura curves and the Mumford uniformization. J. Fac. Sci. Univ. Tokyo, Sec. IA, 25 (1979) 277-301. Zbl0428.14012MR523989
  6. [6] B. Mazur and M. Rapoport: Behavior of the Néron model of the jacobian of X0(N) at bad primes, Appendix to: Mazur, B., Modular curves and the Eisenstein ideal, Publ. Math. IHES, 47 (1977) 33-186. Zbl0394.14008
  7. [7] A. Ogg: Mauvaise réduction des courbes de Shimura, Séminaire de Théorie des Nombres, Paris, 1983-84. Zbl0581.14024
  8. [8] M. Raynaud: Spécialisation du foncteur de Picard, Publ. Math. IHES, 38 (1970) 27-76. Zbl0207.51602MR282993
  9. [9] K. Ribet: Congruence relations between modular forms, Proceedings ICM (1983). Zbl0575.10024MR804706

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