39 citations · 156 across the 32 of their papers we have counts for
6 papers · 1 filter
The containment problem and a rational simplicial arrangement
G. Malara, J. Szpond
Since Dumnicki, Szemberg and Tutaj-Gasińska gave in 2013 in [9] the first example of a set of points in the complex projective plane such that for its homogeneous ideal I the conta…
On the postulation of lines and a fat line
Thomas Bauer, Sandra Di Rocco, David Schmitz +2
In this note we show that the union of general lines and one fat line in imposes independent conditions on forms of sufficiently high degree , where the boun…
On codimension two flats in Fermat-type arrangements
Grzegorz Malara, Justyna Szpond
In the present note we study certain arrangements of codimension flats in projective spaces, we call them "Fermat arrangements". We describe algebraic properties of their defin…
Waldschmidt constants for Stanley-Reisner ideals of a class of graphs
Tomasz Szemberg, Justyna Szpond
In the present note we study Waldschmidt constants of Stanley-Reisner ideals of a hypergraph and a graph with vertices forming a bipyramid over a planar n-gon. The case of the hype…
Fermat-type configurations of lines in and the containment problem
Grzegorz Malara, Justyna Szpond
The purpose of this note is to show a new series of examples of homogeneous ideals in for which the containment fails. These ideals…
On a conjecture of Demailly and new bounds on Waldschmidt constants in
Grzegorz Malara, Tomasz Szemberg, Justyna Szpond
In the present note we prove a conjecture of Demailly for finite sets of sufficiently many very general points in projective spaces. This gives a lower bound on Waldschmidt constan…