32 citations · 70 across the 10 of their papers we have counts for
14 papers
On the notion of sequentially Cohen-Macaulay modules
Giulio Caviglia, Alessandro De Stefani, Enrico Sbarra +1
In this survey paper we first present the main properties of sequentially Cohen-Macaulay modules. Some basic examples are provided to help the reader with quickly getting acquainte…
Zero-Divisor Graphs and Zero-Divisor Functors
Enrico Sbarra, Maurizio Zanardo
Inspired by a very recent work of A. Ðurić, S. Jevđenić and N. Stopar, we introduce a new definition of zero-divisor graphs attached to rings, that includes all of the classical de…
The Eisenbud-Green-Harris Conjecture
Giulio Caviglia, Alessandro De Stefani, Enrico Sbarra
We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of man…
On jet schemes of pfaffian ideals
Emanuela De Negri, Enrico Sbarra
Jet schemes and arc spaces received quite a lot of attention by researchers after their introduction, due to J. Nash, and established their importance as an object of study in M. K…
A rigidity property of local cohomology modules
Enrico Sbarra, Francesco Strazzanti
The relationships between the invariants and the homological properties of , and have been studied extensively over the past decades. A result of A.…
Generic circuits sets and general initial ideals with respect to weights
Giulio Caviglia, Enrico Sbarra
We study the set of circuits of a homogeneous ideal and that of its truncations, and introduce the notion of generic circuits set. We show how this is a well-defined invariant that…