# name
On the Jacobian ideal of the binary discriminant (with an appendix by Abdelmalek Abdesselam)

# metadata.dc.description.abstract[].value
Let ∆ denote the discriminant of the generic binary d-ic. We show that for
d ≥ 3, the Jacobian ideal of ∆ is perfect of height 2. Moreover we describe
its SL2-equivariant minimal resolution and the associated differential equations
satisfied by ∆. 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.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
On the Jacobian ideal of the binary discriminant (with an appendix by Abdelmalek Abdesselam)