The Connectedness of Space Curve Invariants
| dc.creator | Cook, Michele | |
| dc.date | 1994-01-28 | |
| dc.date.accessioned | 2026-07-07T09:05:59Z | |
| dc.date.available | 2026-07-07T09:05:59Z | |
| dc.description | It is a result of Gruson and Peskine that the invariants of a set points in $\ptwo$ in general position are connected. Associated to a space curve there are sequences of invariants which generalize the invariants of points in $\ptwo$. The main result of this paper is to show that the invariants of reduced, irreducible, non-degenerate curves in $\pthree$ also satisfy a connectedness property. This result greatly restricts the kinds of Borel-fixed monomial ideals which can occur as generic initial ideals of such curves and thus gives us more control over their Hilbert functions. | |
| dc.description | 18 pages, Latex v2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9401009 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9401009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149862 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Connectedness of Space Curve Invariants | |
| dc.type | text |