Back to Search
Start Over
Degeneration of point configurations in the projective plane
- Source :
- Indagationes Mathematicae. 2(1):39-56
- Publication Year :
- 1991
- Publisher :
- Elsevier BV, 1991.
-
Abstract
- In this paper we construct a compactification of the moduli space Bn*=(P22⧹Δ)⧸PGL(3)of n-point configuration in the plane in general position modulo linear transformations. This compactification Bn is an analogue to the space of n-pointed trees of projective lines and a generalization of a compactification of orbit spaces of more general group actions. We relate the fibres of the universal n-point configuration Fn→Bn to schemes associated with the Bruhat-Tits Building and give explicit descriptions in the cases n=5 and n=6.
- Subjects :
- Discrete mathematics
Pure mathematics
Mathematics(all)
General Mathematics
Complex projective space
Fano plane
Mathematics::Algebraic Geometry
Real projective plane
Projective space
Compactification (mathematics)
Projective linear group
Projective plane
Quaternionic projective space
Mathematics
Subjects
Details
- ISSN :
- 00193577
- Volume :
- 2
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Indagationes Mathematicae
- Accession number :
- edsair.doi.dedup.....d976f8c39856d5325ee673935afed267
- Full Text :
- https://doi.org/10.1016/0019-3577(91)90040-e