7 papers
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…
A Pascal-type construction of the Segre cubic and the Cremona--Richmond configuration
Piotr Pokora, Tomasz Szemberg
We present a Pascal-type residual construction in P^4. Starting from two quadruples of hyperplanes whose four diagonal intersection planes lie in a hyperplane, we show that the twe…
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…
Waldschmidt constants of symmetric sets of points in
Sebastian Calvo, Jack Huizenga, Tomasz Szemberg
Configurations of points defined by complex reflection groups have attracted a lot of attention recently in several directions of research, e.g., the containment problem between or…
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…