Betti Numbers and Degree Bounds for Some Linked Zero-Schemes
| dc.creator | Gold, Leah | |
| dc.creator | Schenck, Hal | |
| dc.creator | Srinivasan, Hema | |
| dc.date | 2005-10-26 | |
| dc.date.accessioned | 2026-07-07T06:47:55Z | |
| dc.date.available | 2026-07-07T06:47:55Z | |
| dc.description | In their paper on multiplicity bounds (1998), Herzog and Srinivasan study the relationship between the graded Betti numbers of a homogeneous ideal I in a polynomial ring R and the degree of I. For certain classes of ideals, they prove a bound on the degree in terms of the largest and smallest Betti numbers, generalizing results of Huneke and Miller (1985). The bound is conjectured to hold in general; we study this using linkage. If R/I is Cohen-Macaulay, we may reduce to the case where I defines a zero-dimensional subscheme Y. If Y is residual to a zero-scheme Z of a certain type (low degree or points in special position), then we show that the conjecture is true for I_Y. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510552 | |
| dc.identifier | http://arxiv.org/abs/math/0510552 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103812 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D02; 14M06; 13H15 | |
| dc.title | Betti Numbers and Degree Bounds for Some Linked Zero-Schemes | |
| dc.type | text |