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math.AC2024
Uniform bounds on projective dimension and Castelnuovo-Mumford regularity
Giulio Caviglia, Alessandro De Stefani
In this article we obtain uniform effective upper bounds for the projective dimension and the Castelnuovo-Mumford regularity of homogeneous ideals inside a standard graded polynomi…
math.AC2024
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…