9 citations · 43 across the 17 of their papers we have counts for
5 papers · 2 filters
On the behavior of singularities at the -pure threshold
Eric Canton, Daniel Hernández, Karl Schwede +6
We provide a family of examples where the -pure threshold and the log canonical threshold of a polynomial are different, but where does not divide the denominator of the …
F-thresholds of graded rings
Alessandro De Stefani, Luis Núñez-Betancourt
The a-invariant, the F-pure threshold, and the diagonal F-threshold are three important invariants of a graded K-algebra. Hirose, Watanabe, and Yoshida have conjectured relations a…
A counterexample to a conjecture of Ding
Alessandro De Stefani
We give a counterexample to a conjecture posed by S. Ding regarding the index of a Gorenstein local ring by exhibiting several examples of one dimensional local complete intersecti…
Products of ideals may not be Golod
Alessandro De Stefani
We exhibit an example of a product of two proper monomial ideals such that the residue class ring is not Golod. We also discuss the strongly Golod property for rational powers of m…
An algorithm for constructing certain differential operators in positive characteristic
Alberto F. Boix, Alessandro De Stefani, Davide Vanzo
Given a non-zero polynomial in a polynomial ring with coefficients in a finite field of prime characteristic , we present an algorithm to compute a differential operator…