9 citations · 14 across the 20 of their papers we have counts for
13 papers · 1 filter
Finite sets of points in with special projection properties
Luca Chiantini, Łucja Farnik, Giuseppe Favacchio +4
In this note we introduce the notion of -geprofi sets and study their basic properties. These are sets of points in whose projection from a general point…
Geproci sets on skew lines in with two transversals
Luca Chiantini, Pietro De Poi, Lucja Farnik +6
The purpose of this work is to pursue classification of geproci sets. Specifically we classify -geproci sets which consist of points on each of skew lines, assumin…
Combinatorics of skew lines in with an application to algebraic geometry
Luca Chiantini, Łucja Farnik, Giuseppe Favacchio +4
This article introduces a previously unrecognized combinatorial structure underlying configurations of skew lines in , and reveals its deep and surprising connection…
The Waldschmidt constant of a standard -configuration in
Maria Virginia Catalisano, Giuseppe Favacchio, Elena Guardo +1
A -configuration of type is a specific set of points in that has a number of algebraic and geometric properties. For example, the graded Bett…
On the classification of certain geproci sets
Luca Chiantini, Lucja Farnik, Giuseppe Favacchio +4
In this short note we develop new methods toward the ultimate goal of classifying geproci sets in . We apply these methods to show that among sets of points distr…
Configurations of points in projective space and their projections
Luca Chiantini, Łucja Farnik, Giuseppe Favacchio +4
We call a set of points an -geproci set (for GEneral PROjection is a Complete Intersection) if its projection from a general point …
Rational normal curves and Hadamard products
Enrico Carlini, Maria Virginia Catalisano, Giuseppe Favacchio +1
Given general hyperplanes in a star configuration of points is the set of all the -wise intersection of them. We introduce {\it contact star configurations}…
Steiner systems and configurations of points
Edoardo Ballico, Giuseppe Favacchio, Elena Guardo +1
The aim of this paper is to make a connection between design theory and algebraic geometry/commutative algebra. In particular, given any Steiner System we associate two…
Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces
Giuseppe Favacchio, Elena Guardo, Brian Harbourne +1
If is a reduced subscheme, we say that admits an unexpected hypersurface of degree for multiplicity if the imposition of having multiplicity …
Multiprojective spaces and the arithmetically Cohen-Macaulay property
Giuseppe Favacchio, Juan Migliore
In this paper we study the arithmetically Cohen-Macaulay (ACM) property for sets of points in multiprojective spaces. Most of what is known is for a…
Special arrangements of lines: codimension two ACM varieties in
Giuseppe Favacchio, Elena Guardo, Beatrice Picone
In this paper we investigate special arrangements of lines in multiprojective spaces. In particular, we characterize codimensional two arithmetically Cohen-Macaulay (ACM) varieties…
On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces
Giuseppe Favacchio, Elena Guardo, Juan Migliore
Published version: We study the arithmetically Cohen-Macaulay (ACM) property for finite sets of points in multiprojective spaces, especially . A combinatorial char…
The minimal free resolution of fat almost complete intersections in
Giuseppe Favacchio, Elena Guardo
A current research theme is to compare symbolic powers of an ideal with the regular powers of . In this paper, we focus on the case that is an ideal defining an almo…