First Nonlinear Syzygies of Ideals Associated to Graphs
| dc.creator | Fernandez-Ramos, Oscar | |
| dc.creator | Gimenez, Philippe | |
| dc.date | 2008-11-12 | |
| dc.date.accessioned | 2026-07-07T10:17:42Z | |
| dc.date.available | 2026-07-07T10:17:42Z | |
| dc.description | Consider an ideal $I\subset K[x_1,..., x_n]$, with $K$ an arbitrary field, generated by monomials of degree two. Assuming that $I$ does not have a linear resolution, we determine the step $s$ of the minimal graded free resolution of $I$ where nonlinear syzygies first appear, we show that at this step of the resolution nonlinear syzygies are concentrated in degree $s+3$, and we compute the corresponding graded Betti number $β_{s,s+3}$. The multidegrees of these nonlinear syzygies are also determined and the corresponding multigraded Betti numbers are shown to be all equal to 1. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0811.1865 | |
| dc.identifier | http://arxiv.org/abs/0811.1865 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173944 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.title | First Nonlinear Syzygies of Ideals Associated to Graphs | |
| dc.type | text |