2026-04-17T19:01:22Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1685172025-12-05T09:54:36Zcom_2072_1057col_2072_478917col_2072_478920
The geometry of the flex locus of a hypersurface
Busé, Laurent
D'Andrea, Carlos, 1973-
Sombra, Martín
Weimann, Martin
Hipersuperfícies
Geometria algebraica
Àlgebra commutativa
Hypersurfaces
Algebraic geometry
Commutative algebra
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.
2020-07-14T06:52:07Z
2020-07-14T06:52:07Z
2020-02-12
2020-07-14T06:52:08Z
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
0030-8730
https://hdl.handle.net/2445/168517
699320
eng
Reproducció del document publicat a: https://doi.org/10.2140/pjm.2020.304.419
Pacific Journal of Mathematics, 2020, vol. 304, num. 2, p. 419-437
https://doi.org/10.2140/pjm.2020.304.419
(c) Mathematical Sciences Publishers (MSP), 2020
info:eu-repo/semantics/openAccess
19 p.
application/pdf
Mathematical Sciences Publishers (MSP)
Articles publicats en revistes (Matemàtiques i Informàtica)