Lifting Monomial Ideals
| dc.creator | Migliore, Juan C. | |
| dc.creator | Nagel, Uwe | |
| dc.date | 1999-07-07 | |
| dc.date.accessioned | 2026-07-07T05:29:49Z | |
| dc.date.available | 2026-07-07T05:29:49Z | |
| dc.description | We show how to lift any monomial ideal J in n variables to a saturated ideal I of the same codimension in n+t variables. We show that I has the same graded Betti numbers as J and we show how to obtain the matrices for the resolution of I. The cohomology of I is described. Making general choices for our lifting, we show that I is the ideal of a reduced union of linear varieties with singularities that are `as small as possible' given the cohomological constraints. The case where J is Artinian is the nicest. In the case of curves we obtain stick figures for I, and in the case of points we obtain certain k-configurations which we can describe in a very precise way. | |
| dc.description | LaTeX, 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/9907045 | |
| dc.identifier | http://arxiv.org/abs/math/9907045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78788 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | Lifting Monomial Ideals | |
| dc.type | text |