7 citations · 7 across the 2 of their papers we have counts for
6 papers · 1 filter
Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals
Giulio Caviglia, Alessandro De Stefani
We estimate the Castelnuovo-Mumford regularity of ideals in a polynomial ring over a field by studying the regularity of certain modules generated in degree zero and with linear re…
Decomposition of local cohomology tables of modules with large E-depth
Giulio Caviglia, Alessandro De Stefani
We introduce the notion of E-depth of graded modules over polynomial rings to measure the depth of certain Ext modules. First, we characterize graded modules over polynomial rings…
Global Frobenius Betti numbers and F-splitting ratio
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
We extend the notion of Frobenius Betti numbers and F-splitting ratio to large classes of finitely generated modules over rings of prime characteristic, which are not assumed to be…
Cohomologically full rings
Hailong Dao, Alessandro De Stefani, Linquan Ma
Inspired by a question raised by Eisenbud-Mustaţă-Stillman regarding the injectivity of maps from modules to local cohomology modules and the work by the third author w…
Symbolic powers of ideals
Hailong Dao, Alessandro De Stefani, Eloísa Grifo +2
We survey classical and recent results on symbolic powers of ideals. We focus on properties and problems of symbolic powers over regular rings, on the comparison of symbolic and re…
Artinian level algebras of low socle degree
Alessandro De Stefani
In this paper we study Hilbert functions and isomorphism classes of Artinian level local algebras via Macaulay's inverse system. Upper and lower bounds concerning numerical functio…