On the classification and specialization of F -isocrystals with additional structure

M. Rapoport; M. Richartz

Compositio Mathematica (1996)

  • Volume: 103, Issue: 2, page 153-181
  • ISSN: 0010-437X

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Rapoport, M., and Richartz, M.. "On the classification and specialization of $F$-isocrystals with additional structure." Compositio Mathematica 103.2 (1996): 153-181. <http://eudml.org/doc/90466>.

@article{Rapoport1996,
author = {Rapoport, M., Richartz, M.},
journal = {Compositio Mathematica},
keywords = {Frobenius-isocrystals; slopes; Newton-polygon},
language = {eng},
number = {2},
pages = {153-181},
publisher = {Kluwer Academic Publishers},
title = {On the classification and specialization of $F$-isocrystals with additional structure},
url = {http://eudml.org/doc/90466},
volume = {103},
year = {1996},
}

TY - JOUR
AU - Rapoport, M.
AU - Richartz, M.
TI - On the classification and specialization of $F$-isocrystals with additional structure
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 103
IS - 2
SP - 153
EP - 181
LA - eng
KW - Frobenius-isocrystals; slopes; Newton-polygon
UR - http://eudml.org/doc/90466
ER -

References

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  7. [F] Fujiwara, K.: Theory of tubular neighbourhood in étale topology, Duke Math. J.80 (1995) 15-57. Zbl0872.14014MR1360610
  8. [FH] Fulton, W. and Harris, J.: Representation Theory. A First Course. Springer Graduate Texts129, Springer, 1991. Zbl0744.22001MR1153249
  9. [G] Grothendieck, A.: Groupes de Barsotti - Tate et cristaux de Dieudonné, Sém. Math. Sup.45, Presses de l'Univ. de Montreal, 1970. Zbl0331.14021MR417192
  10. [H] Huber, R.: Etale cohomology of rigid analytic varieties and adic spaces, preprint Wuppertal, 1994. MR1734903
  11. [Ka] Katz, N.M.: Slope filtration of F-crystals, Asterisque63 (1979) 113-164. Zbl0426.14007MR563463
  12. [K] Kottwitz, R.E.: Isocrystals with additional structure, Comp. Math.56 (1985) 201-220. Zbl0597.20038MR809866
  13. [K2] Kottwitz, R.E.: Shimura varieties and λ-adic representations, in: Clozel, L. and Milne, J. (eds.): Automorphic Forms, Shimura Varieties and L-Functions, part 1, Perspectives in Mathematics 10, Academic Press (1990) 161-209. Zbl0743.14019
  14. [K3] Kottwitz, R.E.: Shimura varieties and twisted orbital integrals, Math. Ann.269 (1984) 287-300. Zbl0533.14009MR761308
  15. [K4] Kottwitz, R.E.: Points on some Shimura varieties over finite fields, J. AMS5 (1992) 373-444. Zbl0796.14014MR1124982
  16. [K5] Kottwitz, R.E.: Rational conjugacy classes in reductive groups, Duke Math. J.49 (1983) 785-806. Zbl0506.20017MR683003
  17. [M] Milne, J.S.: The points on a Shimura variety modulo a prime of good reduction, in: Langlands, R. P. and Ramakrishnan, D. (eds.): The Zeta Functions of Picard Modular Surfaces, Les publications CRM, Montreal (1992) 151-253. Zbl0821.14016MR1155229
  18. [O] Oort, F.: Moduli of abelian varieties and Newton polygons, C. R. Acad. Sci. Paris312 (1991) 385-389. Zbl0734.14016MR1096617
  19. [RZ] Rapoport, M. and Zink, Th.: Period spaces for p-divisible groups, Ann. of Math. Studies141, Princeton U. Press, 1996. Zbl0873.14039MR1393439
  20. [Ri] Richartz, M.: Der Spezialisierungssatz für Kristalle mit quasi-symplektischer Struktur, DiplomarbeitBonn, 1992. 
  21. [S] Simpson, C.: Higgs bundles and local systems, Pub. Math. IHES75 (1992) 5-95. Zbl0814.32003MR1179076

Citations in EuDML Documents

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  1. Jean-Marc Fontaine, Michael Rapoport, Existence de filtrations admissibles sur des isocristaux
  2. Adrian Vasiu, Crystalline boundedness principle
  3. Torsten Wedhorn, Ordinariness in good reductions of Shimura varieties of PEL-type
  4. Qëndrim R. Gashi, On a conjecture of Kottwitz and Rapoport
  5. Chia-Fu Yu, On reduction of Hilbert-Blumenthal varieties
  6. Ben Moonen, A dimension formula for Ekedahl-Oort strata
  7. Michael Rapoport, On the Newton stratification
  8. Elena Mantovan, On non-basic Rapoport-Zink spaces
  9. Ben Moonen, Serre–Tate theory for moduli spaces of PEL type
  10. Ulrich Görtz, Thomas J. Haines, Robert E. Kottwitz, Daniel C. Reuman, Dimensions of some affine Deligne–Lusztig varieties

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