Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant
Compositio Mathematica, Volume 90 (1994) no. 1, pp. 59-79.
@article{CM_1994__90_1_59_0,
     author = {Deligne, Pierre and Pappas, Georgios},
     title = {Singularit\'es des espaces de modules de {Hilbert,} en les caract\'eristiques divisant le discriminant},
     journal = {Compositio Mathematica},
     pages = {59--79},
     publisher = {Kluwer Academic Publishers},
     volume = {90},
     number = {1},
     year = {1994},
     mrnumber = {1266495},
     zbl = {0826.14027},
     language = {fr},
     url = {http://www.numdam.org/item/CM_1994__90_1_59_0/}
}
TY  - JOUR
AU  - Deligne, Pierre
AU  - Pappas, Georgios
TI  - Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant
JO  - Compositio Mathematica
PY  - 1994
SP  - 59
EP  - 79
VL  - 90
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1994__90_1_59_0/
LA  - fr
ID  - CM_1994__90_1_59_0
ER  - 
%0 Journal Article
%A Deligne, Pierre
%A Pappas, Georgios
%T Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant
%J Compositio Mathematica
%D 1994
%P 59-79
%V 90
%N 1
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1994__90_1_59_0/
%G fr
%F CM_1994__90_1_59_0
Deligne, Pierre; Pappas, Georgios. Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant. Compositio Mathematica, Volume 90 (1994) no. 1, pp. 59-79. http://www.numdam.org/item/CM_1994__90_1_59_0/

[1] M. Artin, "Algebraization of formal moduli I", Global analysis, Princeton Math. Series 29, Princeton Univ. Press (1969), p. 21-71. | MR | Zbl

[2] P. Berthelot, L. Breen et W. Messing, "Théorie de Dieudonné cristalline II ", Lecture Notes in Math. 930, Springer-Verlag, Heidelberg, (1982). | MR | Zbl

[3] C.L. Chai and P. Norman, "Singularities of the Γ0(p)-level structure", J. of Algebraic Geometry 1, 2 (1992) 251- 277. | Zbl

[4] P. Deligneand K. Ribet, "Values of abelian L-functions at negative integers over totally real fields", Inv. Math. 59 (1980) 227-286. | MR | Zbl

[5] A. Grothendieck, "Techniques de descente et théorèmes d'existence V - Les schémas de Picard: théorèmes d'existence,", Séminaire Bourbaki 232 (1961/62). | Numdam | Zbl

[6] G. Harder, R.P. Langlands and M. Rapoport, "Algebraische Zyklen auf Hilbert-Blumenthal-Flächen ", Crelle 366 (1986) 53-120. | MR | Zbl

[7] W. Messing, "The Crystals Associated to Barsotti-Tate Groups: with Applications to Abelian Schemes", Lecture Notes in Mathematics 264, Springer-Verlag, Heidelberg, (1972). | MR | Zbl

[8] L. Moret-Bailly, ""Familles de courbes et de variétés abéliennes sur P1", Séminaire sur les pinceaux de courbes de genre au moins deux. Astérisque 86, SMF, (1981). | Zbl

[9] D. Mumford, "Abelian Varieties", TIFR-Oxford University Press, (1970). | MR | Zbl

[10] D. Mumford and J. Fogarty, "Geometric Invariant Theory-2ded", Ergebnisse 34, Springer-Verlag, Heidelberg, (1982). | Zbl

[11] D. Mumford, A. Ash, M. Rapoport and Y. Tai, "Non Singular Compactifications of Locally Symmetric Varieties", Math. Sci. Press, Brookline Mass., (1975). | MR | Zbl

[12] F. Oort, "Finite group schemes, local moduli for abelian varieties and lifting problems", Comp. Math. 23 (1972) 265 - 296. | Numdam | MR | Zbl

[13] F. Oort and J. Tate, "Group schemes of prime order", Ann. Sci. ENS 3 (1970) 1- 21. | Numdam | MR | Zbl

[14] M. Rapoport, "Compactifications de l'espace de modules de Hilbert-Blumenthal", Comp. Math. 36, 3 (1978) 255 - 335. | Numdam | MR | Zbl