Abel Castorena

collaborators

2 papers

math.AG2025

Non-existence of negative derivations on the higher Nash blowup local algebra

WÃ¡gner Badilla-CÃ©spedes, Abel Castorena, Daniel Duarte +1

Let $f \in C [x_{1}, \dots, x_{s}]$ be a weighted homogeneous polynomial having an isolated singularity and $T_{n} (f)$ be its higher Nash blowup local algebra. We show tha…

math.AG2025

Higher Jacobian matrix of weighted homogeneous polynomials and derivation algebras

We prove that the ideal generated by the maximal minors of the higher-order Jacobian matrix of a weighted homogeneous polynomial is also weighted homogeneous. As an application, we…