Resolutions of Ideals of Uniform Fat Point Subschemes of P^2
| dc.creator | Harbourne, Brian | |
| dc.creator | Holay, Sandeep | |
| dc.creator | Fitchett, Stephanie | |
| dc.date | 1999-06-18 | |
| dc.date.accessioned | 2026-07-07T05:29:35Z | |
| dc.date.available | 2026-07-07T05:29:35Z | |
| dc.description | Let I be the ideal corresponding to a set of general points $p_1,...,p_n \in P^2$. There recently has been progress in showing that a naive lower bound for the Hilbert functions of symbolic powers $I^{(m)}$ is in fact attained when n>9. Here, for m sufficiently large, the minimal free graded resolution of $I^{(m)}$ is determined when n>9 is an even square, assuming only that this lower bound on the Hilbert function is attained. Under ostensibly stronger conditions (that are nonetheless expected always to hold), a similar result is shown to hold for odd squares, and for infinitely many m for each nonsquare n bigger than 9. All results hold for an arbitrary algebraically closed field k. | |
| dc.identifier | https://arxiv.org/abs/math/9906130 | |
| dc.identifier | http://arxiv.org/abs/math/9906130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78691 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13P10; 14C99 | |
| dc.title | Resolutions of Ideals of Uniform Fat Point Subschemes of P^2 | |
| dc.type | text |