The Moduli Space of Points in the Boundary of Quaternionic Hyperbolic Space

2017/12/26 by Goashun Gou, Gou, Gaoshun, Yue-Ping Jiang +1
Mathematics · Physics and Astronomy · #14J10 #15B33 #22E40 #32M15 #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.09217

openalex publication_date 2017/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F₁(n,m) be the space of ordered m-tuples of pairwise distinct points in ∂ H_ℍⁿ up to its isometry group PSp(n,1). It is a real 2m²-6m+5-∑^m-n-1_i=1m-2 \choose n-1+i dimensional algebraic variety when m>n+1. In this paper, we construct and describe the moduli space of F₁(n,m), in terms of the Cartan's angle and cross-ratio invariants, by applying the Moore's determinant.

Citations

• Quaternions and matrices of quaternions

Cited by

• The moduli space of points in quaternionic projective space

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