Giuseppe Favacchio

activity

20172025

collaborators

5 papers

math.AC2025

Symbolic Powers of Toric Ideals

Giuseppe Favacchio, Graham Keiper

This paper investigates the symbolic powers of toric ideals. We first describe them in terms of the kernel of certain linear maps derived from the lattice structure of the toric id…

math.AC2024

On the Weak Lefschetz Property for certain ideals generated by powers of linear forms

Giuseppe Favacchio, Juan Migliore

Ideals $I \subseteq R = k [P^{n}]$ generated by powers of linear forms arise, via Macaulay duality, from sets of fat points $X \subseteq P^{n}$ . Properties of $R / I$ are conn…

math.AC2024

Comparability of the total Betti numbers of toric ideals of graphs

Giuseppe Favacchio

The total Betti numbers of the toric ideal of a simple graph are, in general, highly sensitive to any small change of the graph. In this paper we look at some combinatorial operati…

math.AG2023

The Waldschmidt constant of a standard $k$ -configuration in $P^{2}$

Maria Virginia Catalisano, Giuseppe Favacchio, Elena Guardo +1

A $k$ -configuration of type $(d_{1}, \dots, d_{s})$ is a specific set of points in $P^{2}$ that has a number of algebraic and geometric properties. For example, the graded Bett…

math.AG2017

The interpolation problem for a set of three fat points in $P^{1} \times P^{1}$

Giuseppe Favacchio, Elena Guardo

This is an appendix to the recent paper of Favacchio and Guardo. In these notes we describe explicitly a minimal bigraded free resolution and the bigraded Hilbert function of a set…

Symbolic Powers of Toric Ideals

On the Weak Lefschetz Property for certain ideals generated by powers of linear forms

Comparability of the total Betti numbers of toric ideals of graphs

The Waldschmidt constant of a standard k-configuration in P2

The interpolation problem for a set of three fat points in P1×P1

The Waldschmidt constant of a standard $k$ -configuration in $P^{2}$

The interpolation problem for a set of three fat points in $P^{1} \times P^{1}$