On the classification and specialization of -isocrystals with additional structure
Compositio Mathematica (1996)
- Volume: 103, Issue: 2, page 153-181
- ISSN: 0010-437X
Access Full Article
topHow to cite
topRapoport, 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
top- [AB] Atiyah, M.F. and Bott, R.: The Yang-Mills equations over Riemann surfaces, Phil. Trans. R. Soc. Lond.A308 (1982) 523-615. Zbl0509.14014MR702806
- [B] Borovoi, M.V.: The algebraic fundamental group and abelian Galois cohomology of reductive algebraic groups, preprint Max-Planck-Institut für Mathematik, 1989.
- [BK] Bloch, S. and Kato, K.: P-adic étale cohomology, Pub. Math. IHES63 (1986) 107-152. Zbl0613.14017MR849653
- [Bou] Bourbaki, N.: Groupes et algébres de Lie, ch. 4-6. Paris, Hermann1968. MR240238
- [C] Crew, R.: Specialization of crystalline cohomology, Duke Math. Journal53 (1986) 749-757. Zbl0615.14010MR860669
- [D] Deligne, P.: Catégories tannakiennes, The Grothendieck Festschrift, Prog. in Math.87, vol. II, Birkhäuser, Boston (1990) 111-195. Zbl0727.14010MR1106898
- [F] Fujiwara, K.: Theory of tubular neighbourhood in étale topology, Duke Math. J.80 (1995) 15-57. Zbl0872.14014MR1360610
- [FH] Fulton, W. and Harris, J.: Representation Theory. A First Course. Springer Graduate Texts129, Springer, 1991. Zbl0744.22001MR1153249
- [G] Grothendieck, A.: Groupes de Barsotti - Tate et cristaux de Dieudonné, Sém. Math. Sup.45, Presses de l'Univ. de Montreal, 1970. Zbl0331.14021MR417192
- [H] Huber, R.: Etale cohomology of rigid analytic varieties and adic spaces, preprint Wuppertal, 1994. MR1734903
- [Ka] Katz, N.M.: Slope filtration of F-crystals, Asterisque63 (1979) 113-164. Zbl0426.14007MR563463
- [K] Kottwitz, R.E.: Isocrystals with additional structure, Comp. Math.56 (1985) 201-220. Zbl0597.20038MR809866
- [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
- [K3] Kottwitz, R.E.: Shimura varieties and twisted orbital integrals, Math. Ann.269 (1984) 287-300. Zbl0533.14009MR761308
- [K4] Kottwitz, R.E.: Points on some Shimura varieties over finite fields, J. AMS5 (1992) 373-444. Zbl0796.14014MR1124982
- [K5] Kottwitz, R.E.: Rational conjugacy classes in reductive groups, Duke Math. J.49 (1983) 785-806. Zbl0506.20017MR683003
- [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
- [O] Oort, F.: Moduli of abelian varieties and Newton polygons, C. R. Acad. Sci. Paris312 (1991) 385-389. Zbl0734.14016MR1096617
- [RZ] Rapoport, M. and Zink, Th.: Period spaces for p-divisible groups, Ann. of Math. Studies141, Princeton U. Press, 1996. Zbl0873.14039MR1393439
- [Ri] Richartz, M.: Der Spezialisierungssatz für Kristalle mit quasi-symplektischer Struktur, DiplomarbeitBonn, 1992.
- [S] Simpson, C.: Higgs bundles and local systems, Pub. Math. IHES75 (1992) 5-95. Zbl0814.32003MR1179076
Citations in EuDML Documents
top- 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
- Ben Moonen, A dimension formula for Ekedahl-Oort strata
- Michael Rapoport, On the Newton stratification
- Elena Mantovan, On non-basic Rapoport-Zink spaces
- Ben Moonen, Serre–Tate theory for moduli spaces of PEL type
- Ulrich Görtz, Thomas J. Haines, Robert E. Kottwitz, Daniel C. Reuman, Dimensions of some affine Deligne–Lusztig varieties
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.