Bounding the degrees of generators of a homogeneous dimension 2 toric ideal
| dc.creator | Thomas, Hugh | |
| dc.date | 2002-04-22 | |
| dc.date.accessioned | 2026-07-07T04:47:57Z | |
| dc.date.available | 2026-07-07T04:47:57Z | |
| dc.description | Let I be the toric ideal defined by a 2 x n matrix of integers, A = ((1 1 ... 1)(a_1 a_2 ... a_n)) with a_1<a_2<...<a_n. We give a combinatorial proof that I is generated by elements of degree at most the sum of the two largest differences a_i - a_(i-1). The novelty is in the method of proof: the result has already been shown by L'vovsky using cohomological arguments. | |
| dc.description | 8 pages. To appear in Collectanea Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0204254 | |
| dc.identifier | http://arxiv.org/abs/math/0204254 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63868 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13F20 (Primary) 14M25, 05A17 (Secondary) | |
| dc.title | Bounding the degrees of generators of a homogeneous dimension 2 toric ideal | |
| dc.type | text |