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

 Access to full text

 Full (PDF)

1. [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
2. [B] Borovoi, M.V.: The algebraic fundamental group and abelian Galois cohomology of reductive algebraic groups, preprint Max-Planck-Institut für Mathematik, 1989. 
3. [BK] Bloch, S. and Kato, K.: P-adic étale cohomology, Pub. Math. IHES63 (1986) 107-152. Zbl0613.14017MR849653
4. [Bou] Bourbaki, N.: Groupes et algébres de Lie, ch. 4-6. Paris, Hermann1968. MR240238
5. [C] Crew, R.: Specialization of crystalline cohomology, Duke Math. Journal53 (1986) 749-757. Zbl0615.14010MR860669
6. [D] Deligne, P.: Catégories tannakiennes, The Grothendieck Festschrift, Prog. in Math.87, vol. II, Birkhäuser, Boston (1990) 111-195. Zbl0727.14010MR1106898
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

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