Balanced configurations of 2n+1 plane vectors
| dc.creator | Ressayre, N. | |
| dc.date | 2002-06-24 | |
| dc.date.accessioned | 2026-07-07T06:26:30Z | |
| dc.date.available | 2026-07-07T06:26:30Z | |
| dc.description | A plane configuration {v_1,...,v_m} of vectors in {\mathbb R}^2 is said to be balanced if for any index i, the set of the det(v_i,v_j) for j\neq i is symmetric around the origin. A plane configuration is said to be uniform if every pair of vectors is linearly independent. E. Cattani and A. Dickenstein conjectured that any uniform balanced configuration is GL_2({\mathbb R})-equivalent to a regular (2n+1)-gon. In this note, we prove this conjecture. | |
| dc.description | 7 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/math/0206234 | |
| dc.identifier | http://arxiv.org/abs/math/0206234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97124 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.title | Balanced configurations of 2n+1 plane vectors | |
| dc.type | text |