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On the slope stratification of certain Shimura varieties

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Abstract

In this paper we study the slope stratification on the good reduction of the type C family Shimura varieties. We show that there is an open dense subset U of the moduli space such that any point in U can be deformed to a point with a given lower admissible Newton polygon. For the Siegel moduli spaces, this is obtained by F. Oort which plays an important role in his proof of the strong Grothendieck conjecture concerning the slope stratification. We also investigate the p-divisible groups and their isogeny classes arising from the abelian varieties in question.

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  1. Institute of Mathematics, Academia Sinica, 128 Academia Rd. Sec. 2, Nankang, Taipei, Taiwan, 115

    Chia-Fu Yu

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  1. Chia-Fu Yu
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Correspondence to Chia-Fu Yu.

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Received: 10 November 2004; 13 February 2005

The research is partially supported by NSC 93-2119-M-001-018.

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Yu, CF. On the slope stratification of certain Shimura varieties. Math. Z. 251, 859–873 (2005). https://doi.org/10.1007/s00209-005-0835-4

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