10 citations · 13 across the 16 of their papers we have counts for
16 papers
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…
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…
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…
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…
Geproci sets on skew lines in with two transversals
Luca Chiantini, Pietro De Poi, Lucja Farnik +6
The purpose of this work is to pursue classification of geproci sets. Specifically we classify -geproci sets which consist of points on each of skew lines, assumin…
Combinatorics of skew lines in with an application to algebraic geometry
Luca Chiantini, Łucja 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…
On the classification of certain geproci sets
Luca Chiantini, Lucja Farnik, Giuseppe Favacchio +4
In this short note we develop new methods toward the ultimate goal of classifying geproci sets in . We apply these methods to show that among sets of points distr…
Configurations of points in projective space and their projections
Luca Chiantini, Łucja Farnik, Giuseppe Favacchio +4
We call a set of points an -geproci set (for GEneral PROjection is a Complete Intersection) if its projection from a general point …
Seshadri constants on abelian and bielliptic surfaces -- potential values and lower bounds
Thomas Bauer, Łucja Farnik
In this note we contribute to the study of Seshadri constants on abelian and bielliptic surfaces. We specifically focus on bounds that hold on all such surfaces, depending only on…
Veneroni maps
M. Dumnicki, L. Farnik, B. Harbourne +2
Veneroni maps are a class of birational transformations of projective spaces. This class contains the classical Cremona transformation of the plane, the cubo-cubic transformation o…
Rationality of Seshadri constants on general blow ups of
Łucja Farnik, Krishna Hanumanthu, Jack Huizenga +2
Let be a projective surface and let be an ample line bundle on . The global Seshadri constant of is defined as the infimum of Seshadri constants $\v…
On the parameter space of Böröczky configurations
Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska +1
Böröczky configurations of lines have been recently considered in connection with the problem of the containment between symbolic and ordinary powers of ideals. Here we describe pa…
Initial sequences and Waldschmidt constants of planar point configurations
Łucja Farnik, Janusz Gwoździewicz, Beata Hejmej +3
The purpose of this work is to extend the classification of planar point configurations with low Waldschmidt constants for all values less than . As a consequence we prove a c…
On the non-existence of orthogonal instanton bundles on P^(2N+1)
Lucja Farnik, Davide Frapporti, Simone Marchesi
In this paper we prove that there do not exist orthogonal instanton bundles on P^(2n+1) . In order to demonstrate this fact, we propose a new way of representing the invariant, int…