Título inglés |
On the Jacobian ideal of the binary discriminant. |
Título español |
Sobre el ideal jacobiano del discriminante binario. |
Autor/es |
D'Andrea, Carlos ; Chipalkatti, Jaydeep |
Organización |
Dep. Alg. Geom. Fac. Mat. Univ. Barcelona, Barcelona, España;Dep. Math. Univ. Manitoba, Manitoba (Winnipeg), Canadá |
Revista |
0010-0757 |
Publicación |
2007, 58 (1): 155-180, 22 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Let Δ denote the discriminant of the generic binary d-ic. We show that for d ≥ 3, the Jacobian ideal of Δ is perfect of height 2. Moreover we describe its SL2-equivariant minimal resolution and the associated differential equations
satisfied by Δ. A similar result is proved for the resultant of two forms of orders d, e whenever d ≥ e-1. If Φn denotes the locus of binary forms with total root multiplicity ≥ d-n, then we show that the ideal of Φn is also perfect, and we construct a covariant which characterizes this locus. 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. |
Clasificación UNESCO |
120105 |
Palabras clave español |
Anillos conmutativos ; Invariantes ; Ideales |
Acceso al artículo completo |