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. Adrian Vasiu, Crystalline boundedness principle
  8. Torsten Wedhorn, Ordinariness in good reductions of Shimura varieties of PEL-type
  9. Qëndrim R. Gashi, On a conjecture of Kottwitz and Rapoport
  10. Chia-Fu Yu, On reduction of Hilbert-Blumenthal varieties

NotesEmbed ?


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.