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http://hdl.handle.net/2445/168517
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DC Field | Value | Language |
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dc.contributor.author | Busé, Laurent | - |
dc.contributor.author | D'Andrea, Carlos, 1973- | - |
dc.contributor.author | Sombra, Martín | - |
dc.contributor.author | Weimann, Martin | - |
dc.date.accessioned | 2020-07-14T06:52:07Z | - |
dc.date.available | 2020-07-14T06:52:07Z | - |
dc.date.issued | 2020-02-12 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.uri | http://hdl.handle.net/2445/168517 | - |
dc.description.abstract | We give a formula in terms of multidimensional resultants for an equation for the flex locus of a projective hypersurface, generalizing a classical result of Salmon for surfaces in $\mathbb{P}^{3}$. Using this formula, we compute the dimension of this flex locus, and an upper bound for the degree of its defining equations. We also show that, when the hypersurface is generic, this bound is reached, and that the generic flex line is unique and has the expected order of contact with the hypersurface. | - |
dc.format.extent | 19 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Mathematical Sciences Publishers (MSP) | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.2140/pjm.2020.304.419 | - |
dc.relation.ispartof | Pacific Journal of Mathematics, 2020, vol. 304, num. 2, p. 419-437 | - |
dc.relation.uri | https://doi.org/10.2140/pjm.2020.304.419 | - |
dc.rights | (c) Mathematical Sciences Publishers (MSP), 2020 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Hipersuperfícies | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Àlgebra commutativa | - |
dc.subject.other | Hypersurfaces | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Commutative algebra | - |
dc.title | The geometry of the flex locus of a hypersurface | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 699320 | - |
dc.date.updated | 2020-07-14T06:52:08Z | - |
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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699320.pdf | 361.71 kB | Adobe PDF | View/Open |
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