Minimal free resolutions and asymptotic behavior of multigraded regularity
| dc.creator | Ha, Huy Tai | |
| dc.creator | Strunk, Brent | |
| dc.date | 2006-06-13 | |
| dc.date | 2007-01-22 | |
| dc.date.accessioned | 2026-07-07T07:41:56Z | |
| dc.date.available | 2026-07-07T07:41:56Z | |
| dc.description | Let S be a standard N^k-graded polynomial ring over a field. Let I be a multigraded homogeneous ideal in S and let M be a finitely generated Z^k-graded S-module. We prove that the resolution regularity, a multigraded variant of Castelnuovo-Mumford regularity, of I^nM is asymptotically a linear function. This shows that the well known Z-graded phenomenon carries to multigraded situation. | |
| dc.description | Final version to appear in J. Algebra; 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606312 | |
| dc.identifier | http://arxiv.org/abs/math/0606312 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122299 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D02; 13D45; 14B15; 14F17 | |
| dc.title | Minimal free resolutions and asymptotic behavior of multigraded regularity | |
| dc.type | text |