6 papers
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…
From a Pascal construction to the Burkhardt quartic
Tomasz Szemberg, Justyna Szpond
We continue the study of Pascal-type residual constructions in projective four-space. Starting from two -tuples of hyperplanes in such that the diagonal inters…
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…
Postulation of lines in P3 revisited
Marcin Dumnicki, Mikolaj Le Van, Grzegorz Malara +3
The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good…