Isomorphism classes of A-hypergeometric systems
| dc.creator | Saito, Mutsumi | |
| dc.date | 1999-12-28 | |
| dc.date.accessioned | 2026-07-07T05:32:30Z | |
| dc.date.available | 2026-07-07T05:32:30Z | |
| dc.description | For a finite set A of integral vectors, Gel'fand, Kapranov and Zelevinskii defined a system of differential equations with a parameter vector as a D-module, which system is called an A-hypergeometric (or a GKZ hypergeometric) system. Classifying the parameters according to the D-isomorphism classes of their corresponding A-hypergeometric systems is one of the most fundamental problems in the theory. In this paper we give a combinatorial answer for the problem under the assumption that the finite set A lies in a hyperplane off the origin, and illustrate it in two particularly simple cases: the normal case and the monomial curve case. | |
| dc.description | 16 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/9912213 | |
| dc.identifier | http://arxiv.org/abs/math/9912213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79680 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 33C70 (Primary) 14M25, 16S32 (Secondary) | |
| dc.title | Isomorphism classes of A-hypergeometric systems | |
| dc.type | text |