5 papers
Combinatorics of skew lines in with an application to algebraic geometry
Luca Chiantini, Åucja 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…
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…
Finite sets of points in with special projection properties
Luca Chiantini, Åucja 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…
On the Weak Lefschetz Property for certain ideals generated by powers of linear forms
Giuseppe Favacchio, Juan Migliore
Ideals generated by powers of linear forms arise, via Macaulay duality, from sets of fat points . Properties of are conn…
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…