紀要論文

紀要論文

text

Osaka Journal of Mathematics. 2020, 57(4), p. 827-846

THE MODULI SPACE OF POINTS IN THE BOUNDARY OF QUATERNIONIC HYPERBOLIC SPACE

Osaka University and Osaka City University, Departments of Mathematics

英語

text

2020-10

Let F_1(n,m) be the PSp(n, 1)-configuration space of ordered m-tuple of pairwise distinct points in the boundary of quaternionic hyperbolic n-space ∂𝗛^n_H , i.e., the m-tuple of pairwise distinct points in ∂𝗛^n_H up to the diagonal action of PSp(n, 1). In terms of Cartan’s angular invariant and cross-ratio invariants, the moduli space of F1(n,m) is described by using Moore’s determinant. We show that the moduli space of F_1(n,m) is a real 2m^2 − 6m + 5 − Σ^＜m−n−1＞ _＜i=1＞ ( ^＜m−2＞_＜n−1+i＞) dimensional subset of a algebraic variety with the same real dimension when m > n+1.

10.18910/77233

77233

THE MODULI SPACE OF POINTS IN THE BOUNDARY OF QUATERNIONIC HYPERBOLIC SPACE

Osaka University and Osaka City University, Departments of Mathematics

英語

2020-10

Osaka Journal of Mathematics

57

4

827

846

https://hdl.handle.net/11094/77233

10.18910/77233

https://doi.org/10.18910/77233