Ordinariness in good reductions of Shimura varieties of PEL-type

Torsten Wedhorn

Annales scientifiques de l'École Normale Supérieure (1999)

  • Volume: 32, Issue: 5, page 575-618
  • ISSN: 0012-9593

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Wedhorn, Torsten. "Ordinariness in good reductions of Shimura varieties of PEL-type." Annales scientifiques de l'École Normale Supérieure 32.5 (1999): 575-618. <http://eudml.org/doc/82496>.

@article{Wedhorn1999,
author = {Wedhorn, Torsten},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Shimura varieties; abelian varieties; crystalline Dieudonné theory; ordinary varieties; arithmetic aspects of moduli; PEL-datum},
language = {eng},
number = {5},
pages = {575-618},
publisher = {Elsevier},
title = {Ordinariness in good reductions of Shimura varieties of PEL-type},
url = {http://eudml.org/doc/82496},
volume = {32},
year = {1999},
}

TY - JOUR
AU - Wedhorn, Torsten
TI - Ordinariness in good reductions of Shimura varieties of PEL-type
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1999
PB - Elsevier
VL - 32
IS - 5
SP - 575
EP - 618
LA - eng
KW - Shimura varieties; abelian varieties; crystalline Dieudonné theory; ordinary varieties; arithmetic aspects of moduli; PEL-datum
UR - http://eudml.org/doc/82496
ER -

References

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  1. [Bü] BÜLTEL, On the mod-p reduction of ordinary CM-points, preprint Harvard, 1997. 
  2. [CF] C.-L. CHAI, G. FALTINGS, Degeneration of Abelian Varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 22, Springer, 1990. Zbl0744.14031MR92d:14036
  3. [Dr] V.G. DRINFIELD, Coverings of p-adic symmetric regions, Funct. Anal. and Appl. 10, 29-40, 1976. Zbl0346.14010
  4. [Gr] A. GROTHENDIECK, Groupes de Barsotti-Tate et cristaux de Dieudonné, Presses de l'Université de Montréal, 1974. Zbl0331.14021MR54 #5250
  5. [Ill] L. ILLUSIE, Déformations de Groupes de Barsotti-Tate, in Séminaire sur les Pinceaux Arithmétiques : la conjecture de Mordell, Astérisque 127, 151-198, 1985. MR801922
  6. [Kn] M.-A. KNUS, Quadratic and Hermitian Forms over Rings, Grundlehren der mathematischen Wissenschaft 294, Springer, 1991. Zbl0756.11008MR92i:11039
  7. [Ko1] R. KOTTWITZ, Points on some Shimura varieties over finite fields, J. AMS 5, 373-444, 1992. Zbl0796.14014MR93a:11053
  8. [Ko2] R. KOTTWITZ, Isocrystals with additional structure, Comp. math. 56, 201-220, 1985. Zbl0597.20038MR87i:14040
  9. [Ko3] R. KOTTWITZ, Isocrystals with additional structure II, preprint Chicago, 1995. 
  10. [Ko4] R. KOTTWITZ, Shimura Varieties and Twisted Orbital Integrals, Math. Ann. 269, 287-300, 1984. Zbl0533.14009MR87b:11047
  11. [Kob] N. KOBLITZ, p-adic variation of the zeta function over families of varieties defined over finite fields, Comp. math. 31, 119-218, 1975. Zbl0332.14008MR54 #2658
  12. [Me] W. MESSING, The Crystals Associated to Barsotti-Tate Groups, with Applications to Abelian Schemes, Lecture Notes in Mathematics 264, Springer, 1972. Zbl0243.14013MR50 #337
  13. [Mu] D. MUMFORD, Bi-extensions of formal groups, Algebraic Geometry, Bombay Colloquium 1968, 307-322, Tata Inst. Fund. Research and Oxford Univ. Press, 1969. Zbl0216.33101
  14. [No] R. NOOT, Models of Shimura varieties in mixed characteristic, J. Algebraic Geometry 5, No. 1, 187-207, 1996. Zbl0864.14015MR96k:14018
  15. [NO] P. NORMAN, F. OORT, Moduli of abelian varieties, Ann. of Math., II. Ser. 112, 413-439, 1980. Zbl0483.14010MR82h:14026
  16. [Oo] F. OORT, Finite Group Schemes, Local Moduli for Abelian Varieties, and Lifting Problems, Proc. 5th Nordic Summer School, Wolters-Noordhoff Pub., The Netherlands, 1970. Zbl0239.14018
  17. [Ra] M. RAPOPORT, talk in Princeton, 1996. 
  18. [RR] M. RAPOPORT, M. RICHARTZ, On the classification and specialization of F-isocrystals with additional structure, Comp. Math. 103, 153-181, 1996. Zbl0874.14008MR98c:14015
  19. [RZ] M. RAPOPORT, Th. ZINK, Period Spaces for p-divisible Groups, Annals of Mathematics Studies 141, Princeton University Press, Princeton, 1996. Zbl0873.14039MR97f:14023
  20. [St] H. STAMM, On the reduction of the Hilbert-Blumenthal moduli scheme with Γ0(p)-level structure, Forum Mathematicum 9, 405-455, 1997. Zbl0916.14022MR98h:14030
  21. [Va] A. VASIU, Integral Canonical Models of Shimura Varieties of Preabelian Type, preprint Zürich, 1995. 
  22. [Z1] Th. ZINK, Cartier Theory and Crystalline Dieudonné Theory, preprint Bielefeld, 1997. 
  23. [Z2] Th. ZINK, Cartiertheorie kommutativer formaler Gruppen, Teubner-Texte zur Mathematik 68, Teubner Verlagsgesellschaft, Leipzig, 1984. Zbl0578.14039MR86j:14046

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