References
Berthelot, P., Breen, L., Messing, W.: Théorie de Dieudonné cristalline II. Lecture Notes in Mathematics, Vol. 930. Berlin Heidelberg New York: Springer 1982
Berthelot, P., Ogus, A.: Notes on crystalline cohomology. Mathematical Notes. Princeton: Princeton University Press 1978
Deligne, P.: La conjecture de Weil II. Publ. Math. IHES52, 137–252 (1980)
Demazure, M., Gabriel, P.: Groupes algebraiques. Tome I. Amsterdam: North-Holland 1970
Demazure, M., Grothendieck, A., et al.: SGA 3: Schemas en Groups I, II, III, Lecture Notes in Mathematics 151, 152, 153. Berlin Heidelberg New York: Springer 1970
Demazure, M.: Lectures onp-Divisible groups. (Lecture Notes in Mathematics, Vol. 302). Berlin Heidelberg New York: Springer 1972
Dieudonné, J.: La geometrie des groupes classiques. Berlin Heidelberg New York: Springer 1955
Grothendieck, A.: EGA III: Étude cohomologique des faisceaux coherents, Publ. Math. IRES11 (1961),17 (1963)
Grothendieck, A.: Un théorème sur les homomorphisms de schémas abelians. Invent. Math.2, 59–78 (1966)
Hartshorne, R.: Algebraic geometry. GTM 52. Berlin Heidelberg New York: Springer 1977
Katz, N.: Slope filtrations ofF-crystals. Astérisque63, 113–164 (1979)
Manin, Yu.I.: The theory of commutative formal groups over fields of finite characteristic. Russ. Math. Surv.18, 1–80 (1963)
Matsumura, H.: Commutative algebra. New York: Benjamin 1970
Mumford, D.: Abelian varieties. Oxford: Oxford University Press 1970
Mumford, D.: Lectures on curves on an algebraic surface, Ann. Math. Stud.59, 1–212 (1966)
Nygaard, N., Ogus, A.: Tate's conjectures for k3 surfaces of finite height. Ann. Math.122, 461–507 (1985)
Oda, T.: The first De Rham cohomology group and Dieudonné modules. Ann. Sci. Ec. Norm. Sup.2, 63–135 (1969)
Oda, T., Oort, F.: Supersingular abelian varieties, Intl. Symp. on Algebraic Geometry, 595–621. Kyoto (1977)
Ogus, A.: Supersingular K3 crystals, Astérisque64, 3–86 (1979)
Oort, F.: Commutative group schemes. Lecture Notes in Mathematics, Vol. 15, Berlin Heidelberg New York: Springer 1966
Oort, F.: Which abelian surfaces are product of elliptic curves? Math. Ann.214, 35–47 (1975)
Oort, F.: Subvarieties of moduli spaces. Invent. Math.24, 95–119 (1974)
Shioda, T.: Supersingular K3 surfaces, algebraic geometry. Copenhagen 1978. (Lecture Notes in Mathematics, Vol. 732). Berlin Heidelberg New York: Springer 1978
Tate, J., Oort, F.: Group schemes of prime order. Ann. Sci. Ec. Norm. Sup. 4 ser. 3, 1–21 (1970)
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This paper contains the main part of the dissertation work directed by Professor Arthur Ogus, as well as some unpublished results of Ogus.
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Li, KZ. Classification of supersingular abelian varieties. Math. Ann. 283, 333–351 (1989). https://doi.org/10.1007/BF01446439
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DOI: https://doi.org/10.1007/BF01446439