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

2013/06/06 by Yu, Chia-Fu · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1306.1400

Abstract

In this paper we make an initial study on type D moduli spaces in positive characteristic p≠ 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.

Cited by

• On the flatness of spin local models for split even orthogonal groups

Related

• Abelian varieties with quaternion and complex multiplication
• Derived Category of certain maximal order on ℙ²
• The field of moduli of quaternionic multiplication on abelian varieties
• Moduli space of real abelian varieties with level structure
• Abelian Varieties with Quaternion Multiplication