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20162026
most citedConfigurations of points in projective space and their projections

1 citations · 1 across the 12 of their papers we have counts for

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math.AG2026

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 ,…

math.AG2026

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…

math.AG2026

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…

math.AG2025

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…

math.AG2024

Cactus varieties of sufficiently ample embeddings of projective schemes have determinantal equations

Weronika Buczyńska, Jarosław Buczyński, Łucja Farnik

For a fixed projective scheme X, a property P of line bundles is satisfied by sufficiently ample line bundles if there exists a line bundle L_0 on X such that P(L) holds for any L…

math.AG2024

Finite sets of points in with special projection properties

Luca Chiantini, Łucja 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…