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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-6835-5 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-075E-2
Genre: Journal Article

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 Creators:
Yu, Chia-Fu1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1306.1400
DOI: 10.5802/aif.3349
 Degree: -

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Title: Annales de l'Institut Fourier
  Abbreviation : Ann. Inst. Fourier
Source Genre: Journal
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Publ. Info: Institut Fourier
Pages: - Volume / Issue: 71 (2) Sequence Number: - Start / End Page: 539 - 613 Identifier: -