2 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.AC2026
Herzog ideals and -singularities
Alessandro De Stefani, Linquan Ma, Matteo Varbaro
In this paper we study the connection between Herzog ideals (i.e., ideals with a squarefree Gröbner degeneration) and -singularities. More precisely, we show that, in positive c…