3 papers
math.AC2026
From a local ring to its associated graded algebra
Alessandro De Stefani, Maria Evelina Rossi, Matteo Varbaro
Let be a complete local ring, and be its associated graded ring. We introduce a homogenization technique which allows to relate $G…
math.AC2025
Hilbert-Kunz multiplicity of powers of ideals in dimension two
Alessandro De Stefani, Shreedevi K. Masuti, Maria Evelina Rossi +1
We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a cr…
math.AC2024
Almost finitely generated inverse systems and reduced k-algebras
Joan Elias, Maria Evelina Rossi
The purpose of this paper is to characterize one-dimensional local domains, or more in general reduced, in terms of its Macaulay's inverse system. This leads to study almost finite…