Aline V. Andrade

activity

20232025

collaborators

3 papers

math.AG2025

Quasi-homogeneous singularities of projective hypersurfaces and Jacobian syzygies

Aline V. Andrade, Valentina Beorchia, Alexandru Dimca +1

We prove an unexpected general relation between the Jacobian syzygies of a projective hypersurface $V \subset P^{n}$ with only isolated singularities and the nature of its si…

math.AG2024

A characterization of quasi-homogeneous singularities of free and nearly free plane curves

Aline V. Andrade, Valentina Beorchia, Rosa M. Miró-Roig

The goal of this paper is to establish a new characterization of quasi-homogeneous isolated singularities of free curves and nearly free curves $C$ in $P_{C}^{2}$ . Th…

math.AG2023

On higher Jacobians, Laplace equations and Lefschetz properties

Charles Almeida, Aline V. Andrade, Rodrigo Gondim

Let $A$ be a standard graded $K$ -algebra of finite type over an algebraically closed field of characteristic zero. We use apolarity to construct, for each degree $k$ , a pr…