| dc.creator |
D'Andrea, Carlos, 1973- |
|
| dc.creator |
Chipalkatti, Jaydeep |
|
| dc.date |
2011-03-08T09:49:05Z |
|
| dc.date |
2011-03-08T09:49:05Z |
|
| dc.date |
2007 |
|
| dc.date.accessioned |
2024-12-16T10:26:17Z |
|
| dc.date.available |
2024-12-16T10:26:17Z |
|
| dc.identifier |
0010-0757 |
|
| dc.identifier |
http://hdl.handle.net/2445/16913 |
|
| dc.identifier |
556672 |
|
| dc.identifier.uri |
http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/20837 |
|
| dc.description |
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. |
|
| dc.format |
26 p. |
|
| dc.format |
application/pdf |
|
| dc.language |
eng |
|
| dc.publisher |
Universitat de Barcelona |
|
| dc.relation |
Reproducció del document publicat a: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/4107/5023 |
|
| dc.relation |
Collectanea Mathematica, 2007, vol. 58, num. 2, p. 155-180 |
|
| dc.rights |
(c) Universitat de Barcelona, 2007 |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.source |
Articles publicats en revistes (Matemàtiques i Informàtica) |
|
| dc.subject |
Geometria algebraica |
|
| dc.subject |
Algebraic geometry |
|
| dc.title |
On the Jacobian ideal of the binary discriminant (with an appendix by Abdelmalek Abdesselam) |
|
| dc.type |
info:eu-repo/semantics/article |
|
| dc.type |
info:eu-repo/semantics/publishedVersion |
|