Exceptional parameters for generic A-hypergeometric systems
| dc.creator | Matusevich, Laura Felicia | |
| dc.date | 2001-05-03 | |
| dc.date | 2001-09-25 | |
| dc.date.accessioned | 2026-07-07T04:41:35Z | |
| dc.date.available | 2026-07-07T04:41:35Z | |
| dc.description | The holonomic rank of an A-hypergeometric system $H_A(β)$ is conjectured to be independent of the parameter vector $β$ if and only if the toric ideal $I_A$ is Cohen Macaulay. We prove this conjecture in the case that $I_A$ is generic by explicitly constructing more than $\vol(A)$ many linearly independent hypergeometric functions for parameters $β$ coming from embedded primes of certain initial ideals of $I_A$. | |
| dc.description | Major revisions | |
| dc.identifier | https://arxiv.org/abs/math/0105030 | |
| dc.identifier | http://arxiv.org/abs/math/0105030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61419 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.title | Exceptional parameters for generic A-hypergeometric systems | |
| dc.type | text |