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

Wágner Badilla-Céspedes, Abel Castorena, Daniel Duarte +1

Let $f\in \mathbb{C}[x_1,\dots ,x_s]$ be a weighted homogeneous polynomial having an isolated singularity and ${\mathcal{T}}_n(f)$ be its higher Nash blowup local algebra. We show tha…