5 papers
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…
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…
Ladder determinantal varieties and their symbolic blowups
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt +2
In this article we show that the symbolic Rees algebra of a mixed ladder determinantal ideal is strongly -regular. Furthermore, we prove that the symbolic associated graded alge…
On the rate of generic Gorenstein -algebras
Mats Boij, Emanuela De Negri, Alessandro De Stefani +1
The rate of a standard graded -algebra is a measure of the growth of the shifts in a minimal free resolution of as an -module. In particular has rate one if and o…
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…