L. Guerrieri

activity

20172024

most citedAsymptotic invariants of ideals with Noetherian symbolic Rees algebra and applications to cover ideals

2 citations · 3 across the 11 of their papers we have counts for

collaborators

15 papers

math.AG2024

The value semigroup of a plane curve singularity with several branches

M. D'Anna, F. Delgado, L. Guerrieri +2

We present a constructive procedure, based on the notion of Apéry set, to obtain the value semigroup of a plane curve singularity from the value semigroup of its blow-up and viceve…

math.AC2023

Non-integrally closed Kronecker function rings and integral domains with a unique minimal overring

Lorenzo Guerrieri, K. Alan Loper

It is well-known that an integrally closed domain $D$ can be express as the intersection of its valuation overrings but, if $D$ is not a Prüfer domain, the most of valuation overri…

math.AC2023

Mapping free resolutions of length three II -- Module formats

Sara Angela Filippini, Lorenzo Guerrieri

Let $M$ be a perfect module of projective dimension 3 in a Gorenstein, local or graded ring $R$ . We denote by $\FF$ the minimal free resolution of $M$ . Using the generic ring assoc…

math.AC2022

Higher structure maps for free resolutions of length 3 and linkage

Lorenzo Guerrieri, Xianglong Ni, Jerzy Weyman

Let $I$ be a perfect ideal of height 3 in a Gorenstein local ring $R$ . Let $F$ be the minimal free resolution of $I$ . A sequence of linear maps, which generalize the multi…

math.CO2022

Properties and applications of the Apéry set of good semigroups in $N^{d}$

Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale

In this article we discuss some applications of the construction of the Apéry set of a good semigroup in $N^{d}$ given in the previous paper [Partition of the complement of…

math.AC2021

Rees algebras of ideals of star configurations

Alessandra Costantini, Ben Drabkin, Lorenzo Guerrieri

In this article we study the defining ideal of Rees algebras of ideals of star configurations. We characterize when these ideals are of linear type and provide sufficient condition…

math.AC2020

Mapping resolutions of length three I

Lorenzo Guerrieri, Jerzy Weyman

We produce some interesting families of resolutions of length three by describing certain open subsets of the spectrum of the generic ring for such resolutions constructed in a rec…

math.CO2020

Partition of complement of good ideals and Apéry sets

Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale

Good semigroups form a class of submonoids of $N^{d}$ containing the value semigroups of curve singularities. In this article, we describe a partition of the complements of…

math.AC2020

On the integral domains characterized by a Bezout Property on intersections of principal ideals

Lorenzo Guerrieri, K. Alan Loper

In this article we study two classes of integral domains. The first is characterized by having a finite intersection of principal ideals being finitely generated only when it is pr…

math.AC2019

On quasi-equigenerated and Freiman cover ideals of graphs

Benjamin Drabkin, Lorenzo Guerrieri

A quasi-equigenerated monomial ideal $I$ in the polynomial ring $R = k [x_{1}, \dots, x_{n}]$ is a Freiman ideal if $μ (I^{2}) = l (I) μ (I) - (2 l ( I ))$ where $l (I)$ is the analytic spr…

math.AC2019★ 1 cited

The Apéry Set of a Good Semigroup

Marco D'Anna, Lorenzo Guerrieri, Vincenzo Micale

We study the Apéry set of good subsemigoups of $N^{2}$ , a class of semigroups containing the value semigroups of curve singularities with two branches. Even if this set in in…

math.AC2018

Directed unions of local monoidal transforms and GCD domains

Lorenzo Guerrieri

Let $(R, m)$ be a regular local ring of dimension $d \geq 2$ . A local monoidal transform of $R$ is a ring of the form $R_{1} = R [\frac{p}{x}]_{m_{1}}$ w…

math.AC2018★ 2 cited

Asymptotic invariants of ideals with Noetherian symbolic Rees algebra and applications to cover ideals

Ben Drabkin, Lorenzo Guerrieri

Let $I$ be an ideal whose symbolic Rees algebra is Noetherian. For $m \geq 1$ , the $m$ -th symbolic defect, sdefect $(I, m)$ , of $I$ is defined to be the minimal number of generators…

math.AC2017

Lefschetz Properties of Gorenstein Graded Algebras associated to the Apéry Set of a Numerical Semigroup