Foliations on the space of $p$-divisible groups were studied by Oort in 2004. In his theory, special leaves called central streams play an important role. In this paper, we give a complete classification of the boundary components of the central streams for an arbitrary Newton polygon in the unpolarized case. Hopefully this classification would help us to know the boundaries of other leaves and more detailed structure of the boundaries of central streams.
References
N. Bourbaki, Lie Groups and Lie Algebras, Chapters 4–6,
Translated from the 1968 French original by Andrew Pressley, Elements of Mathematics (Berlin),
Springer-Verlag, Berlin, 2002.N. Bourbaki, Lie Groups and Lie Algebras, Chapters 4–6,
Translated from the 1968 French original by Andrew Pressley, Elements of Mathematics (Berlin),
Springer-Verlag, Berlin, 2002.
N. M. Katz, Slope filtration of $F$-crystals, in:
Journées de Géométrie Algébrique de Rennes (Rennes, 1978), Vol. I,
pp. 113–163, Astérisque, 63, Soc. Math. France, Paris, 1979.N. M. Katz, Slope filtration of $F$-crystals, in:
Journées de Géométrie Algébrique de Rennes (Rennes, 1978), Vol. I,
pp. 113–163, Astérisque, 63, Soc. Math. France, Paris, 1979.
F. Oort, A stratification of a moduli space of abelian
varieties, in: Moduli of Abelian Varieties (Texel Island, 1999),
345–416, Progr. Math. 195, Birkhäuser, Basel, 2001.F. Oort, A stratification of a moduli space of abelian
varieties, in: Moduli of Abelian Varieties (Texel Island, 1999),
345–416, Progr. Math. 195, Birkhäuser, Basel, 2001.
T. Wedhorn, The dimension of Oort strata of Shimura varieties of
PEL-type, in: Moduli of Abelian Varieties (Texel Island, 1999),
441–471, Progr. Math. 195, Birkhäuser, Basel, 2001.T. Wedhorn, The dimension of Oort strata of Shimura varieties of
PEL-type, in: Moduli of Abelian Varieties (Texel Island, 1999),
441–471, Progr. Math. 195, Birkhäuser, Basel, 2001.