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THE MODULI SPACE OF POINTS IN THE BOUNDARY OF QUATERNIONIC HYPERBOLIC SPACE
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Description
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.
Journal
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- Osaka Journal of Mathematics
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Osaka Journal of Mathematics 57 (4), 827-846, 2020-10
Osaka University and Osaka City University, Departments of Mathematics
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Keywords
Details 詳細情報について
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- CRID
- 1390009224818704768
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- NII Article ID
- 120006891389
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- NII Book ID
- AA00765910
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- HANDLE
- 11094/77233
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- ISSN
- 00306126
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
- CiNii Articles
- OpenAIRE