27 citations · 133 across the 37 of their papers we have counts for
4 papers · 2 filters
Relations between the minors of a generic matrix
Winfried Bruns, Aldo Conca, Matteo Varbaro
It is well-known that the Plücker relations generate the ideal of relations of the maximal minors of a generic matrix. In this paper we discuss the relations between minors of a (n…
The possible extremal Betti numbers of a homogeneous ideal
Jürgen Herzog, Leila Sharifan, Matteo Varbaro
We give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of any homogeneous ideal in a polynomial ring over a field.
Cohen-Macaulayness of generically complete intersection monomial ideals
Le Dinh Nam, Matteo Varbaro
In this paper we discuss the problem of characterizing the Cohen-Macaulay property of certain families of monomial ideals with fixed radical. More precisely, we consider genericall…
Cohomological and Combinatorial Methods in the Study of Symbolic Powers and Equations defining Varieties
Matteo Varbaro
In this PhD thesis we will discuss some aspects in Commutative Algebra which have interactions with Algebraic Geometry, Representation Theory and Combinatorics. In particular, in t…