Paolo Mantero

Projective Dimension of String and Cycle Hypergraphs

We present a closed formula and a simple algorithmic procedure to compute the projective dimension of square-free monomial ideals associated to string or cycle hypergraphs. As an application, among these ideals we characterize all the Cohen–Macaulay ones.

Arithmetical rank of strings and cycles

Let

A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property

R

The projective dimension of codimension two algebras presented by quadrics

be a polynomial ring over a field

Generalized stretched ideals and Sally's conjecture

K

Multiple structures with arbitrarily large projective dimension supported on linear subspaces

. To a given squarefree monomial ideal

IDEALS GENERATED BY 4 QUADRIC POLYNOMIALS

I \subset R

On the Cohen–Macaulayness of the conormal module of an ideal

, one can associate a hypergraph

Chudnovsky's conjecture for very general points in PkN

H(I)

A Tight Bound on the Projective Dimension of Four Quadrics

. In this article, we prove that the arithmetical rank of