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http://hdl.handle.net/2445/16913
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DC Field | Value | Language |
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dc.contributor.author | D'Andrea, Carlos, 1973- | cat |
dc.contributor.author | Chipalkatti, Jaydeep | cat |
dc.date.accessioned | 2011-03-08T09:49:05Z | - |
dc.date.available | 2011-03-08T09:49:05Z | - |
dc.date.issued | 2007 | - |
dc.identifier.issn | 0010-0757 | - |
dc.identifier.uri | http://hdl.handle.net/2445/16913 | - |
dc.description.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. | - |
dc.format.extent | 26 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | eng |
dc.publisher | Universitat de Barcelona | cat |
dc.relation.isformatof | Reproducció del document publicat a: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/4107/5023 | cat |
dc.relation.ispartof | Collectanea Mathematica, 2007, vol. 58, num. 2, p. 155-180 | cat |
dc.rights | (c) Universitat de Barcelona, 2007 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Geometria algebraica | cat |
dc.subject.other | Algebraic geometry | eng |
dc.title | On the Jacobian ideal of the binary discriminant (with an appendix by Abdelmalek Abdesselam) | eng |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 556672 | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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556672.pdf | 253.33 kB | Adobe PDF | View/Open |
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