Isocrystals with additional structure

Robert E. Kottwitz

Compositio Mathematica (1985)

  • Volume: 56, Issue: 2, page 201-220
  • ISSN: 0010-437X

How to cite


Kottwitz, Robert E.. "Isocrystals with additional structure." Compositio Mathematica 56.2 (1985): 201-220. <>.

author = {Kottwitz, Robert E.},
journal = {Compositio Mathematica},
keywords = {characteristic p; Witt ring; Frobenius automorphism; isocrystals; -conjugacy classes; connected reductive groups; Shimura varieties},
language = {eng},
number = {2},
pages = {201-220},
publisher = {Martinus Nijhoff Publishers},
title = {Isocrystals with additional structure},
url = {},
volume = {56},
year = {1985},

AU - Kottwitz, Robert E.
TI - Isocrystals with additional structure
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 56
IS - 2
SP - 201
EP - 220
LA - eng
KW - characteristic p; Witt ring; Frobenius automorphism; isocrystals; -conjugacy classes; connected reductive groups; Shimura varieties
UR -
ER -


  1. [B] A. Borel: Automorphic L-functions, Automorphic Forms, Representations and L- functions, Proc. Sympos. Pure Math., vol. 33, part 2, Amer. Math. Soc., Providence, R.I., 1979, pp. 27-61. Zbl0412.10017MR546608
  2. [B-O] P. Berthelot and A. Ogus: F-isocrystals and de Rham cohomology. I, Invent. Math.72 (1983), 159-199. Zbl0516.14017MR700767
  3. [K1] R. Kottwitz: Stable trace formula: cuspidal tempered terms, preprint. Zbl0576.22020MR757954
  4. [K2] R. Kottwitz: Shimura varieties and twisted orbital integrals, preprint. Zbl0533.14009MR761308
  5. [Kn] M. Kneser: Galoiskohomologie halbeinfacher algebraischer Gruppen über p-adischen Körpern. I. Math. Zeit.88 (1965) 40-47; II, Math. Zeit.89 (1965) 250-272. Zbl0143.04702
  6. [L] R.P. Langlands: On the zeta-functions of some simple Shimura varieties, Can. J. math.31 (1979) 1121-1216. Zbl0444.14016MR553157
  7. [Sa] N. Saavedra Rivano: Catégories Tannakiennes, Lecture Notes in Mathematics265, Springer-Verlag, Heidelberg (1972). Zbl0241.14008MR338002
  8. [St] R. Steinberg: Regular elements of semisimple algebraic groups, Publ. Math. IHES25 (1965) 49-80. Zbl0136.30002MR180554

Citations in EuDML Documents

  1. Robert E. Kottwitz, Base change for unit elements of Hecke algebras
  2. Eva Viehmann, The dimension of some affine Deligne–Lusztig varieties
  3. M. Rapoport, M. Richartz, On the classification and specialization of F -isocrystals with additional structure
  4. Elena Mantovan, On non-basic Rapoport-Zink spaces
  5. Ulrich Görtz, Thomas J. Haines, Robert E. Kottwitz, Daniel C. Reuman, Dimensions of some affine Deligne–Lusztig varieties
  6. Jean-Marc Fontaine, Michael Rapoport, Existence de filtrations admissibles sur des isocristaux
  7. Chia-Fu Yu, On reduction of Hilbert-Blumenthal varieties
  8. Ben Moonen, A dimension formula for Ekedahl-Oort strata
  9. Adrian Vasiu, Crystalline boundedness principle
  10. Torsten Wedhorn, Ordinariness in good reductions of Shimura varieties of PEL-type

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