Isocrystals with additional structure
Compositio Mathematica (1985)
- Volume: 56, Issue: 2, page 201-220
- ISSN: 0010-437X
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topKottwitz, Robert E.. "Isocrystals with additional structure." Compositio Mathematica 56.2 (1985): 201-220. <http://eudml.org/doc/89735>.
@article{Kottwitz1985,
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 = {http://eudml.org/doc/89735},
volume = {56},
year = {1985},
}
TY - JOUR
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 - http://eudml.org/doc/89735
ER -
References
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- [B-O] P. Berthelot and A. Ogus: F-isocrystals and de Rham cohomology. I, Invent. Math.72 (1983), 159-199. Zbl0516.14017MR700767
- [K1] R. Kottwitz: Stable trace formula: cuspidal tempered terms, preprint. Zbl0576.22020MR757954
- [K2] R. Kottwitz: Shimura varieties and twisted orbital integrals, preprint. Zbl0533.14009MR761308
- [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
- [L] R.P. Langlands: On the zeta-functions of some simple Shimura varieties, Can. J. math.31 (1979) 1121-1216. Zbl0444.14016MR553157
- [Sa] N. Saavedra Rivano: Catégories Tannakiennes, Lecture Notes in Mathematics265, Springer-Verlag, Heidelberg (1972). Zbl0241.14008MR338002
- [St] R. Steinberg: Regular elements of semisimple algebraic groups, Publ. Math. IHES25 (1965) 49-80. Zbl0136.30002MR180554
Citations in EuDML Documents
top- Robert E. Kottwitz, Base change for unit elements of Hecke algebras
- Eva Viehmann, The dimension of some affine Deligne–Lusztig varieties
- M. Rapoport, M. Richartz, On the classification and specialization of -isocrystals with additional structure
- Elena Mantovan, On non-basic Rapoport-Zink spaces
- Ulrich Görtz, Thomas J. Haines, Robert E. Kottwitz, Daniel C. Reuman, Dimensions of some affine Deligne–Lusztig varieties
- Jean-Marc Fontaine, Michael Rapoport, Existence de filtrations admissibles sur des isocristaux
- Adrian Vasiu, Crystalline boundedness principle
- Torsten Wedhorn, Ordinariness in good reductions of Shimura varieties of PEL-type
- Qëndrim R. Gashi, On a conjecture of Kottwitz and Rapoport
- Chia-Fu Yu, On reduction of Hilbert-Blumenthal varieties
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