Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant

Pierre Deligne; Georgios Pappas

Compositio Mathematica (1994)

  • Volume: 90, Issue: 1, page 59-79
  • ISSN: 0010-437X

How to cite

top

Deligne, Pierre, and Pappas, Georgios. "Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant." Compositio Mathematica 90.1 (1994): 59-79. <http://eudml.org/doc/90268>.

@article{Deligne1994,
author = {Deligne, Pierre, Pappas, Georgios},
journal = {Compositio Mathematica},
keywords = {moduli space of abelian varieties; crystalline cohomology; formal moduli space},
language = {fre},
number = {1},
pages = {59-79},
publisher = {Kluwer Academic Publishers},
title = {Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant},
url = {http://eudml.org/doc/90268},
volume = {90},
year = {1994},
}

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
PB - Kluwer Academic Publishers
VL - 90
IS - 1
SP - 59
EP - 79
LA - fre
KW - moduli space of abelian varieties; crystalline cohomology; formal moduli space
UR - http://eudml.org/doc/90268
ER -

References

top
  1. [1] M. Artin, "Algebraization of formal moduli I", Global analysis, Princeton Math. Series 29, Princeton Univ. Press (1969), p. 21-71. Zbl0205.50402MR260746
  2. [2] P. Berthelot, L. Breen et W. Messing, "Théorie de Dieudonné cristalline II ", Lecture Notes in Math. 930, Springer-Verlag, Heidelberg, (1982). Zbl0516.14015MR667344
  3. [3] C.L. Chai and P. Norman, "Singularities of the Γ0(p)-level structure", J. of Algebraic Geometry1, 2 (1992) 251- 277. Zbl0785.14001
  4. [4] P. Deligneand K. Ribet, "Values of abelian L-functions at negative integers over totally real fields", Inv. Math.59 (1980) 227-286. Zbl0434.12009MR579702
  5. [5] A. Grothendieck, "Techniques de descente et théorèmes d'existence V — Les schémas de Picard: théorèmes d'existence,", Séminaire Bourbaki232 (1961/62). Zbl0238.14014
  6. [6] G. Harder, R.P. Langlands and M. Rapoport, "Algebraische Zyklen auf Hilbert-Blumenthal-Flächen ", Crelle366 (1986) 53-120. Zbl0575.14004MR833013
  7. [7] W. Messing, "The Crystals Associated to Barsotti-Tate Groups: with Applications to Abelian Schemes", Lecture Notes in Mathematics264, Springer-Verlag, Heidelberg, (1972). Zbl0243.14013MR347836
  8. [8] L. Moret-Bailly, ""Familles de courbes et de variétés abéliennes sur P1", Séminaire sur les pinceaux de courbes de genre au moins deux. Astérisque86, SMF, (1981). Zbl0515.14007
  9. [9] D. Mumford, "Abelian Varieties", TIFR-Oxford University Press, (1970). Zbl0223.14022MR282985
  10. [10] D. Mumford and J. Fogarty, "Geometric Invariant Theory—2ded", Ergebnisse34, Springer-Verlag, Heidelberg, (1982). Zbl0504.14008
  11. [11] D. Mumford, A. Ash, M. Rapoport and Y. Tai, "Non Singular Compactifications of Locally Symmetric Varieties", Math. Sci. Press, Brookline Mass., (1975). Zbl0334.14007MR457437
  12. [12] F. Oort, "Finite group schemes, local moduli for abelian varieties and lifting problems", Comp. Math.23 (1972) 265 - 296. Zbl0223.14024MR301026
  13. [13] F. Oort and J. Tate, "Group schemes of prime order", Ann. Sci. ENS3 (1970) 1- 21. Zbl0195.50801MR265368
  14. [14] M. Rapoport, "Compactifications de l'espace de modules de Hilbert-Blumenthal", Comp. Math.36, 3 (1978) 255 - 335. Zbl0386.14006MR515050

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.