6 papers
Kochen-Specker Configurations from Grids on Dual Quadrics
Giuseppe Favacchio
We develop a geometric framework for constructing and organizing Kochen--Specker configurations in real four-dimensional space. The construction uses finite grids on pairs of smoot…
On the Geometry of Sixers on the Fermat Cubic Surface
Giuseppe Favacchio, Grzegorz Malara
A sixer is a configuration of six pairwise skew lines on a smooth cubic surface, equivalently a choice of six exceptional curves defining a blow-down to . We study th…
Collinearly complete sets and finite subgroups from configurations of skew -planes in
Giuseppe Favacchio, Jake Kettinger
We study collinearly complete finite sets of points arising from configurations of pairwise skew -planes in . To such a configuration we associate a groupo…
Enumerative geometry of skew lines in with a given associated finite group
Luca Chiantini, Łucja 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, Łucja 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, Łucja 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…