6 papers · 1 filter
Enumerative geometry of skew lines in with a given associated finite group
Luca Chiantini, Åucja Farnik, Giuseppe Favacchio +4
For any finite set of 3 or more skew lines in over an algebraically closed field of arbitrary characteristic, there is a ca…
Weddle schemes
Luca Chiantini, Åucja Farnik, Giuseppe Favacchio +4
The classical Weddle surface is the locus of vertices of quadric cones through six points in in linear general position. Equivalently, it is the closure of the locus…
Intersection of curves in projective 4 space
Luca Chiantini, Åucja Farnik, Giuseppe Favacchio +4
Given two distinct reduced, irreducible curves of given degrees, contained in projective space but whose union is not contained in a hyperplane, what is the largest number of point…
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…
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 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…