85 citations · 366 across the 53 of their papers we have counts for
59 papers
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…
Terracini loci of curves
Edoardo Ballico, Luca Chiantini
We study subsets S of curves X whose double structure does not impose independent conditions to a linear series L, but there are divisors D in |L| singular at all points of S. Thes…
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…
Decompositions and Terracini loci of cubic forms of low rank
Luca Chiantini, Fulvio Gesmundo
We study Waring rank decompositions for cubic forms of rank in variables. In this setting, we prove that if a concise form has more than one non-redundant decomposition…
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 …