Intersection of ACM-curves in P^3
| dc.creator | Miro-Roig, R. M. | |
| dc.creator | Ranestad, K. | |
| dc.date | 2003-12-16 | |
| dc.date.accessioned | 2026-07-07T05:03:56Z | |
| dc.date.available | 2026-07-07T05:03:56Z | |
| dc.description | In this note we address the problem of determining the maximum number of points of intersection of two arithmetically Cohen-Macaulay curves in $\PP^3$. We give a sharp upper bound for the maximum number of points of intersection of two irreducible arithmetically Cohen-Macaulay curves $C_t$ and $C_{t-r}$ in $\PP^3$ defined by the maximal minors of a $t \times (t+1)$, resp. $(t-r) \times (t-r+1)$, matrix with linear entries, provided $C_{t-r}$ has no linear series of degree $d\leq{{t-r+1}\choose 3}$ and dimension $n\geq t-r$. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312301 | |
| dc.identifier | http://arxiv.org/abs/math/0312301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69612 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14C17 (Primary) 14H45 (Secondary) | |
| dc.title | Intersection of ACM-curves in P^3 | |
| dc.type | text |