27 citations · 133 across the 37 of their papers we have counts for
4 papers · 1 filter
On the Arithmetical Rank of Certain Segre Embeddings
Matteo Varbaro
We study the number of (set-theoretically) defining equations of Segre products of projective spaces times certain projective hypersurfaces, extending results by Singh and Walther.…
Koszulness, Krull Dimension and Other Properties of Graph-Related Algebras
Alexandru Constantinescu, Matteo Varbaro
The algebra of basic covers of a graph G, denoted by \A(G), was introduced by Juergen Herzog as a suitable quotient of the vertex cover algebra. In this paper we show that if the g…
On the h-vectors of Cohen-Macaulay Flag Complexes
Alexandru Constantinescu, Matteo Varbaro
Starting from an unpublished conjecture of Kalai and from a conjecture of Eisenbud, Green and Harris, we study several problems relating h-vectors of Cohen-Macaulay, flag simplicia…
Symbolic Powers and Matroids
Matteo Varbaro
We prove that all the symbolic powers of a Stanley-Reisner ideal are Cohen-Macaulay if and only if the associated simplicial complex is a matroid.