On Reconstructing Configurations of Points in ${\mathbb P}^2$ from a Joint Distribution of Invariants
| dc.creator | Boutin, Mireille | |
| dc.creator | Kemper, Gregor | |
| dc.date | 2004-05-16 | |
| dc.date.accessioned | 2026-07-07T05:08:19Z | |
| dc.date.available | 2026-07-07T05:08:19Z | |
| dc.description | Consider the diagonal action of the projective group $\PGL_3$ on $n$ copies of ${\mathbb P}^2$. In addition, consider the action of the symmetric group $Σ_n$ by permuting the copies. In this paper we find a set of generators for the invariant field of the combined group $Σ_n \times \PGL_3$. As the main application, we obtain a reconstruction principle for point configurations in ${\mathbb P}^2$ from their sub-configurations of five points. Finally, we address the question of how such reconstruction principles pass down to subgroups. | |
| dc.identifier | https://arxiv.org/abs/math/0405313 | |
| dc.identifier | http://arxiv.org/abs/math/0405313 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71214 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 68U;14L | |
| dc.title | On Reconstructing Configurations of Points in ${\mathbb P}^2$ from a Joint Distribution of Invariants | |
| dc.type | text |