On $F$-thresholds of differential power filtrations

Wágner Badilla-Céspedes

On $F$-thresholds of differential power filtrations

Commutative Algebra 2026-07-10 v1 Algebraic Geometry

Authors: Wágner Badilla-Céspedes

Abstract

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 minimal primes of the underlying monomial ideal. As an application of our results, we show that the dimension of the polynomial ring and the $F$ -threshold of the differential power filtration of the monomial maximal ideal are the same.

Keywords

F-threshold differential power filtration monomial ideal minimal prime polynomial ring

Cite

@article{arxiv.2607.09028,
  title  = {On $F$-thresholds of differential power filtrations},
  author = {Wágner Badilla-Céspedes},
  journal= {arXiv preprint arXiv:2607.09028},
  year   = {2026}
}

Comments

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