Please use this identifier to cite or link to this item:
https://hdl.handle.net/2445/16913
Title: | On the Jacobian ideal of the binary discriminant (with an appendix by Abdelmalek Abdesselam) |
Author: | D'Andrea, Carlos, 1973- Chipalkatti, Jaydeep |
Keywords: | Geometria algebraica Algebraic geometry |
Issue Date: | 2007 |
Publisher: | Universitat de Barcelona |
Abstract: | 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. |
Note: | Reproducció del document publicat a: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/4107/5023 |
It is part of: | Collectanea Mathematica, 2007, vol. 58, num. 2, p. 155-180 |
URI: | https://hdl.handle.net/2445/16913 |
ISSN: | 0010-0757 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
556672.pdf | 253.33 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.