The geometry of the flex locus of a hypersurface

Laurent Busé, Carlos D’Andrea, Martı́n Sombra, Martin Weimann

Type: Article

Publication Date: 2020-02-12

Citations: 0

DOI: https://doi.org/10.2140/pjm.2020.304.419

Abstract

We give a formula in terms of multidimensional resultants for an equation for the ex locus of a projective hypersurface, generalizing a classical result of Salmon for surfaces in P 3 .Using this formula, we compute the dimension of this ex locus, and an upper bound for the degree of its dening equations.We also show that, when the hypersurface is generic, this bound is reached, and that the generic ex line is unique and has the expected order of contact with the hypersurface.

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Pacific Journal of Mathematics - View
arXiv (Cornell University) - View - PDF
Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) - View - PDF
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