On the Newton stratification
Séminaire Bourbaki : volume 2001/2002, exposés 894-908, Astérisque, no. 290 (2003), Exposé no. 903, 18 p. 
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Rapoport, Michael. On the Newton stratification, dans Séminaire Bourbaki : volume 2001/2002, exposés 894-908, Astérisque, no. 290 (2003), Exposé no. 903, 18 p. http://archive.numdam.org/item/SB_2001-2002__44__207_0/

[AB] M. F. Atiyah & R. Bott - The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308 (1983), p. 523-615. | MR | Zbl

[BW] O. Bültel & T. Wedhorn - Congruence relations for Shimura varieties associated to some unitary groups, math.AG/0202026.

[C1] C. L. Chai - Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli, Invent. Math. 121 (1995), p. 439-479. | MR | Zbl

[C2] _, Newton polygons as lattice points, Amer. J. Math. 122 (2000), p. 967- 990. | MR | Zbl

[D] M. Demazure - Lectures on p-divisible groups, Lecture Notes in Mathematics, vol. 302, Springer-Verlag, Berlin, 1986, Reprint of the 1972 original. | MR | Zbl

[FC] G. Faltings & C. L. Chai - Degeneration of abelian varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 22, Springer-Verlag, Berlin, 1990, With an appendix by David Mumford. | MR | Zbl

[FM] R. Friedman & J. W. Morgan - On the converse to a theorem of Atiyah and Bott, math. AG/0006086.

[G] A. Grothendieck - Groupes de Barsotti-Tate et cristaux de Dieudonné, Sém. Math. Sup., vol. 45, Presses de l'Univ. de Montreal, 1970. | MR | Zbl

[Ill] L. Illusie - Déformations de Groupes de Barsotti-Tate, in Séminaire sur les pinceaux arithmétiques: la conjecture de Mordell, Astérisque, vol. 127, Soc. Math. France, Paris, 1985, p. 151-198. | Numdam | MR

[J1] A. J. De Jong - Barsotti-Tate groups and crystals, in Proceedings of the International Congress of Mathematicians, vol. II (Berlin 1998), Doc. Math., Deutsche Math. Verein., 1998, p. 259-265. | MR | Zbl

[J2] _, Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic, Invent. Math. 134 (1998), p. 301-333. | MR | Zbl

[JO] A. J. De Jong & F. Oort - Purity of the stratification by Newton polygons, J. Amer. Math. Soc. 13 (2000), p. 209-241. | MR | Zbl

[K] C. Kaiser - Ein getwistetes fundamentales Lemma für die GSp4, Bonner Mathematische Schriften, vol. 303, Universität Bonn, Mathematisches Institut, Bonn, 1997, 71 pp. | MR | Zbl

[Ka] N. Katz - Slope filtration of F-crystals, in Journées de géométrie algébrique de Rennes (Rennes 1978), Astérisque, vol. 63, Soc. Math. France, Paris, 1979, p. 113-163. | Numdam | MR | Zbl

[Kob] N. Koblitz - p-adic variation of the zeta function over families of varieties defined over finite fields, Compositio Math. 31 (1975), p. 119-218. | Numdam | MR | Zbl

[Kot1] R. Kottwitz - Points on some Shimura varieties over finite fields, J. Amer. Math. Soc. 5 (1992), p. 373-444. | MR | Zbl

[Kot2] _, Isocrystals with additional structure. II, Compositio Math. 109 (1997), p. 255-339. | MR | Zbl

[KR] S. Kudla & M. Rapoport - Cycles on Siegel threefolds and derivatives of Eisenstein series, Ann. Sci. École Norm. Sup. (4) 33 (2000), p. 695-756. | Numdam | MR | Zbl

[LO] K. Z. Li & F. Oort - Moduli of supersingular abelian varieties, Lecture Notes in Mathematics, vol. 1680, Springer-Verlag, Berlin, 1998, iv+116 pp. | MR | Zbl

[Me] W. Messing - The crystals associated to Barsotti-Tate groups: with applications to abelian schemes, Lecture Notes in Mathematics, vol. 264, Springer-Verlag, Berlin-New York, 1972. | MR | Zbl

[M] D. Mumford - Bi-extensions of formal groups, in Algebraic Geometry, Bombay Colloquium 1968, Tata Inst. Fund. Research and Oxford Univ. Press, 1969, p. 307-322. | MR | Zbl

[NG] B. C. Ngo & A. Genestier - Alcôves et p-rang des variétés abéliennes, math.AG/0107223,2001.

[No] P. Norman - An algorithm for computing local moduli of abelian varieties, Ann. of Math. (2) 101 (1975), p. 499-509. | MR | Zbl

[NoO] P. Norman & F. Oort - Moduli of abelian varieties, Ann. of Math. (2) 112 (1980), p. 413-439. | MR | Zbl

[O1] F. Oort - Newton polygons and formal groups: conjectures by Manin and Grothendieck, Ann. of Math. (2) 152 (2000), p. 183-206. | MR | Zbl

[O2] _, Newton polygon strata in the moduli space of abelian varieties, in Moduli of abelian varieties, (Texel Island 1999), Progr. Math., vol. 195, Birkhäuser, Basel, 2001, p. 417-440. | MR | Zbl

[RR] M. Rapoport & M. Richartz - On the classification and specialization of F-isocrystals with additional structure, Compositio Math. 103 (1996), p. 153- 181. | Numdam | MR | Zbl

[RZ] M. Rapoport & T. Zink - Period spaces for p-divisible groups, Annals of Mathematics Studies, vol. 141, Princeton University Press, Princeton, NJ, 1996, xxii+324 pp. | MR | Zbl

[R] M. Richartz - Klassifikation von selbstdualen Dieudonnégittern in einem dreidimensionalen polarisierten supersingulären Isokristall, Diss., Universität Bonn, 1998. | MR | Zbl

[W] T. Wedhorn - Ordinariness in good reductions of Shimura varieties of PEL-type, Ann. Sci. École Norm. Sup. (4) 32 (1999), p. 575-618. | Numdam | MR | Zbl

[Z1] T. Zink - The display of a formal p-divisible group, in Périodes p-adiques (I), Astérisque, vol. 278, Soc. Math. France, Paris, 2002, p. 127-248. | Numdam | MR | Zbl

[Z2] _, A Dieudonné theory for p-divisible groups, Advanced Studies in Pure Mathematics 30 (2001), p. 139-160. | MR

[Z3] _, On the slope filtration, Duke Math. J. 109 (2001), p. 79-95. | MR | Zbl

[Z4] _, Isogenieklassen von Punkten von Shimuramannigfaltigkeiten mit Werten in einem endlichen Körper, Math. Nachr. 112 (1983), p. 103-124. | MR | Zbl