10 citations · 12 across the 10 of their papers we have counts for
12 papers
Jacobian schemes of conic-line arrangements and eigenschemes
Valentina Beorchia, Rosa M. Miro'-Roig
The Jacobian scheme of a reduced, singular projective plane curve is the zero-dimensional scheme, whose homogeneous ideal is generated by the partials of its defining polynomial. T…
On the slope inequalities for extremal curves
Valentina Beorchia, Michela Brundu
The present paper concerns the question of the violation of the r-th inequality for extremal curves in the projective r-space, posed by T. Kato and G. Martens. We show that the ans…
Configurations of eigenpoints
Valentina Beorchia, Rosa M. Miró-Roig
This note is motivated by the Question 16 of http://cubics.wikidot.com: Which configurations of 15 points in the projective 3-space arise as eigenpoints of a cubic surface? We prov…
Equations of tensor eigenschemes
Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello
We study schemes of tensor eigenvectors from an algebraic and geometric viewpoint. We characterize determinantal defining equations of such eigenschemes via linear equations in the…
Generic identifiability of pairs of ternary forms
Valentina Beorchia, Francesco Galuppi
We prove that two general ternary forms are simultaneously identifiable only in the classical cases of two quadratic and a cubic and a quadratic form. We translate the problem into…
Eigenschemes of Ternary Tensors
Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello
We study projective schemes arising from eigenvectors of tensors, called eigenschemes. After some general results, we give a birational description of the variety parametrizing eig…