On the Jacobian ideal of the binary discriminant
| dc.creator | D'Andrea, Carlos | |
| dc.creator | Chipalkatti, Jaydeep | |
| dc.creator | Abdesselam, Abdelmalek | |
| dc.date | 2006-01-29 | |
| dc.date.accessioned | 2026-07-07T12:50:38Z | |
| dc.date.available | 2026-07-07T12:50:38Z | |
| dc.description | Let $Δ$ denote the discriminant of a generic binary $d$-ic. We show that for $d \ge 3$, the Jacobian ideal of $Δ$ is perfect of height 2. Moreover, we describe its SL_2-equivariant minimal resolution, and the associated invariant differential equations satisfied by $Δ$. A similar result is proved for the resultant of two forms of orders $d,e$, whenever $d \ge e-1$. We also explain the role of the Morley form in the determinantal formula for the resultant; this relies upon a calculation which is done in the appendix by A. Abdesselam. | |
| dc.description | 30 pages. With an appendix by Abdelmalek Abdesselam | |
| dc.identifier | https://arxiv.org/abs/math/0601705 | |
| dc.identifier | http://arxiv.org/abs/math/0601705 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222740 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A50, 13C40 | |
| dc.title | On the Jacobian ideal of the binary discriminant | |
| dc.type | text |