Zobrazeno 1 - 10
of 530
pro vyhledávání: '"A. Beorchia"'
Given a ternary homogeneous polynomial, the fixed points of the map from $\mathbb{P}^2$ to itself defined by its gradient are called its eigenpoints. We focus on cubic polynomials, and analyze configurations of eigenpoints that admit one or more alig
Externí odkaz:
http://arxiv.org/abs/2407.16582
The goal of this paper is to establish a new and efficient characterization of quasi-homogeneous isolated singularities of free curves and nearly free curves $C$ in $\mathbb{P}^2$. The criterion will be in terms of the first syzygy matrix associated
Externí odkaz:
http://arxiv.org/abs/2407.05819
Autor:
Beorchia, Valentina
We prove that any planar projective curve of degree $d \ge 4$ and with a smooth Hessian curve $H_f$ is uniquely determined by $H_f$. Taking into account that the Hessian curve is the ramification divisor associated with the polar map, we prove the st
Externí odkaz:
http://arxiv.org/abs/2406.05423
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. The degree of such a scheme is called the global Tjurina number and, if
Externí odkaz:
http://arxiv.org/abs/2303.04665
Autor:
Diana Menis, Federica Fiori, Peter Cautero, Daniela Zago, Yvonne Beorchia, Lorenzo Dallan, Pietro Vettorazzo, Lucia Lesa, Alessandro Conte, Enrico Scarpis, Laura Brunelli, Maria Parpinel
Publikováno v:
Heliyon, Vol 10, Iss 21, Pp e39317- (2024)
Diet is considered one of the most important determinants of health and at the same time a cause of climate change. We conducted a cross-sectional study in three Italian hospital canteens on five consecutive working days to investigate food offer ava
Externí odkaz:
https://doaj.org/article/e7be843c39714aaf8ffcbe8399f41eee
Autor:
Beorchia, Valentina, Brundu, Michela
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 answer is negative in many cases. The result is obtained by a detailed an
Externí odkaz:
http://arxiv.org/abs/2205.13318
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 prove that a general eigenscheme in the projective n-space is the complete
Externí odkaz:
http://arxiv.org/abs/2205.05196
We study schemes of tensor eigenvectors from an algebraic and geometric viewpoint. We characterize determinantal defining equations of such eigenschemes via linear equations in their coefficients, both in the general and in the symmetric case. We giv
Externí odkaz:
http://arxiv.org/abs/2205.04413
Autor:
Menis, Diana, Fiori, Federica, Cautero, Peter, Zago, Daniela, Beorchia, Yvonne, Dallan, Lorenzo, Vettorazzo, Pietro, Lesa, Lucia, Conte, Alessandro, Scarpis, Enrico, Brunelli, Laura, Parpinel, Maria
Publikováno v:
In Heliyon 15 November 2024 10(21)
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 the study of a certain linear system on a projective bundle on the pl
Externí odkaz:
http://arxiv.org/abs/2106.13698