Title | ||
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On Reconstructing Configurations of Points in ?2 from a Joint Distribution of Invariants |
Abstract | ||
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AbstractConsider the diagonal action of the projective group PGL3 on n copies of 2. In addition, consider the action of the symmetric group ýn by permuting the copies. In this paper we find a set of generators for the invariant field of the combined group ýn PGL3. As the main application, we obtain a reconstruction principle for point configurations in 2 from their sub-configurations of five points. Finally, we address the question of how such reconstruction principles pass down to subgroups. |
Year | DOI | Venue |
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2005 | 10.1007/s00200-004-0168-2 | Periodicals |
Keywords | DocType | Volume |
projective geometry,invariant field,point configurations | Journal | 15 |
Issue | ISSN | Citations |
6 | 0938-1279 | 2 |
PageRank | References | Authors |
0.66 | 2 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mireille Boutin | 1 | 160 | 22.68 |
Gregor Kemper | 2 | 70 | 11.53 |