On reduction of moduli schemes of abelian varieties with definite quaternion 
multiplications

Yu, Chia-Fu

doi:10.5802/aif.3349

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On reduction of moduli schemes of abelian varieties with definite quaternion multiplications

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Yu, Chia-Fu
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.5802/aif.3349
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https://doi.org/10.48550/arXiv.1306.1400
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Citation

Yu, C.-F. (2021). On reduction of moduli schemes of abelian varieties with definite quaternion multiplications. Annales de l'Institut Fourier, 71(2), 539-613. doi:10.5802/aif.3349.

Cite as: https://hdl.handle.net/21.11116/0000-000B-6835-5

Abstract

In this paper we make an initial study on type D moduli spaces in positive
characteristic $p\neq 2$, where we allow $p$ ramified in the definite
quaternion algebra. We classify the isogeny classes of $p$-divisible groups
with additional structures in question. We also study the reduction of the type
$D$ moduli spaces of minimal rank.