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https://dipositint.ub.edu/dspace/handle/2445/168517
Title: | The geometry of the flex locus of a hypersurface |
Author: | Busé, Laurent D'Andrea, Carlos, 1973- Sombra, Martín Weimann, Martin |
Keywords: | Hipersuperfícies Geometria algebraica Àlgebra commutativa Hypersurfaces Algebraic geometry Commutative algebra |
Issue Date: | 12-Feb-2020 |
Publisher: | Mathematical Sciences Publishers (MSP) |
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. |
Note: | Reproducció del document publicat a: https://doi.org/10.2140/pjm.2020.304.419 |
It is part of: | Pacific Journal of Mathematics, 2020, vol. 304, num. 2, p. 419-437 |
URI: | http://hdl.handle.net/2445/168517 |
Related resource: | https://doi.org/10.2140/pjm.2020.304.419 |
ISSN: | 0030-8730 |
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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