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Artin-Schreier geproci configurations in projective spaces of arbitrary dimension
Luca Chiantini, Lucja Farnik, Giuseppe Favacchio +4
We construct finite geproci sets in every projective dimension and in every positive characteristic by introducing -Artin-Schreier configurations. In ,…
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…
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, 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…
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, 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…