W'agner Badilla-C'espedes

activity

20242026

collaborators

4 papers

math.AC2026

On $F$ -thresholds of differential power filtrations

WÃ¡gner Badilla-CÃ©spedes

We study the $F$ -threshold of differential power filtrations of monomial ideals. We give the existence of this number and show that it is upper bounded by the maximum height of the…

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…

math.AC2024

$F$ -pure thresholds and $F$ -Volumes of some non principal ideals

We compute the $F$ -pure threshold of some non-principal ideals which satisfy a geometric generic condition about their Newton polyhedron. We also contribute some evidence in favor…

On F-thresholds of differential power filtrations

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

Higher Jacobian matrix of weighted homogeneous polynomials and derivation algebras

F-pure thresholds and F-Volumes of some non principal ideals

On $F$ -thresholds of differential power filtrations

$F$ -pure thresholds and $F$ -Volumes of some non principal ideals