Balanced Configurations of Lattice Vectors and GKZ-rational Toric Fourfolds in P^6
| dc.creator | Cattani, Eduardo | |
| dc.creator | Dickenstein, Alicia | |
| dc.date | 2002-05-12 | |
| dc.date | 2003-03-06 | |
| dc.date.accessioned | 2026-07-07T04:48:26Z | |
| dc.date.available | 2026-07-07T04:48:26Z | |
| dc.description | We introduce a notion of balanced configurations of vectors. This is motivated by the study of rational A-hypergeometric functions in the sense of Gelfand, Kapranov and Zelevinsky. We classify balanced configurations of seven plane vectors up to GL(2,R) equivalence and deduce that the only gkz-rational toric four-folds in complex projective space P^6 are those varieties associated with an essential Cayley configuration. In this case, we study a suitable hyperplane arrangement and show that all rational A-hypergeometric functions may be described in terms of toric residues. | |
| dc.description | Revised version to appear in the Journal of Algebraic Combinatorics. The new proof of Theorem 2.14 is inspired by the proof of N. Ressayre in math.RA/0206234 of a conjecture we raised in the previous version of this article | |
| dc.identifier | https://arxiv.org/abs/math/0205128 | |
| dc.identifier | http://arxiv.org/abs/math/0205128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64049 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 33C70 (primary); 05B35, 32A27, 14M25 (secondary) | |
| dc.title | Balanced Configurations of Lattice Vectors and GKZ-rational Toric Fourfolds in P^6 | |
| dc.type | text |