1 citations · 2 across the 6 of their papers we have counts for
6 papers
On -thresholds of differential power filtrations
Wágner Badilla-Céspedes
We study the -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…
Non-existence of negative derivations on the higher Nash blowup local algebra
Wágner Badilla-Céspedes, Abel Castorena, Daniel Duarte +1
Let be a weighted homogeneous polynomial having an isolated singularity and be its higher Nash blowup local algebra. We show tha…
Higher Jacobian matrix of weighted homogeneous polynomials and derivation algebras
Wágner Badilla-Céspedes, Abel Castorena, Daniel Duarte
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…
-pure thresholds and -Volumes of some non principal ideals
Wágner Badilla-Céspedes, Edwin León-Cardenal
We compute the -pure threshold of some non-principal ideals which satisfy a geometric generic condition about their Newton polyhedron. We also contribute some evidence in favor…
-Invariants of Stanley-Reisner Rings
Wágner Badilla-Céspedes
In prime characteristic there are important invariants that allow us to measure singularities. For certain cases, it is known that they are rational numbers. In this article, we sh…
-Volumes
Wágner Badilla-Céspedes, Luis Núñez-Betancourt, Sandra Rodríguez-Villalobos
In this work we define a numerical invariant called -volume. This number extends the definition of -threshold of a pair of ideals and , to a sequence of ideal…