Arithmetic models for Hilbert modular varieties

Georgios Pappas

Compositio Mathematica (1995)

  • Volume: 98, Issue: 1, page 43-76
  • ISSN: 0010-437X

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Pappas, Georgios. "Arithmetic models for Hilbert modular varieties." Compositio Mathematica 98.1 (1995): 43-76. <http://eudml.org/doc/90394>.

@article{Pappas1995,
author = {Pappas, Georgios},
journal = {Compositio Mathematica},
keywords = {Hilbert modular varieties; Shimura varieties; Hilbert-Blumenthal surfaces; algebraic stacks},
language = {eng},
number = {1},
pages = {43-76},
publisher = {Kluwer Academic Publishers},
title = {Arithmetic models for Hilbert modular varieties},
url = {http://eudml.org/doc/90394},
volume = {98},
year = {1995},
}

TY - JOUR
AU - Pappas, Georgios
TI - Arithmetic models for Hilbert modular varieties
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 98
IS - 1
SP - 43
EP - 76
LA - eng
KW - Hilbert modular varieties; Shimura varieties; Hilbert-Blumenthal surfaces; algebraic stacks
UR - http://eudml.org/doc/90394
ER -

References

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  1. [1] Chai, C-L. and Norman, P.: Bad reduction of the Siegel moduli scheme of genus two with Γ0(p)-level structure. Amer. Journal Math. vol. 112 (1990). Zbl0734.14010
  2. [2] de Jong, A.J.: The moduli spaces of principally polarized abelian varieties with Γ0(p)-level structure. Journal of Algebraic Geometry. Vol. 2. No. 4. Oct. 1993. Zbl0816.14020
  3. [3] Deligne, P. and Mumford, D.: The irreducibility of the space of curves of given genus. I.H.E.S. No. 36 (1969). Zbl0181.48803MR262240
  4. [4] Deligne, P. and Pappas, G.: Singularités de espaces de modules de Hilbert, en les caractéristiques divisant le discriminant. To appear in Compositio Math. Zbl0826.14027MR1266495
  5. [5] Deligne, P. and Rapoport, M.: Schémas de modules de courbes elliptiques. Lecture notes in Math. Vol. 349. Springer-Verlag, 1973. Zbl0281.14010MR337993
  6. [6] Deligne, P. and Ribet, K.: Values of abelian L-functions at negative integers over totally real fields. Invent. Math.59 (1980). Zbl0434.12009MR579702
  7. [7] Faltings, G. and Chai, C-L.: Degenerations of abelian varieties. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3 Folge-Band 22. Zbl0744.14031
  8. [8] Katz, N. and Mazur, B.: Arithmetic moduli of elliptic curves. Annals of Math. studies. Princeton1985. Zbl0576.14026
  9. [9] Rapoport, M.: Compactifications de l'espace de modules de Hilbert-Blumenthal. Compositio Math. Vol. 36, 1978. Zbl0386.14006MR515050
  10. [10] Raynaud, M.: Schemas en groupes de type (p, ..., p). Bull. Soc. Math. France, 102. Zbl0325.14020MR419467
  11. [11] Zink, T.: Über die schlechte reduction eineger Shimuramannigfaltigkeiten. Compositio Math. Vol. 45 (1981). Zbl0483.14006MR648660

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