1 citations · 1 across the 3 of their papers we have counts for
4 papers
A matrixwise approach to unexpected hypersurfaces
Marcin Dumnicki, Lucja Farnik, Brian Harbourne +3
The aim of this note is to give a generalization of some results concerning unexpected hypersurfaces. Unexpected hypersurfaces occur when the actual dimension of the space of forms…
Containment problem and combinatorics
Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska +1
In this note we consider two configurations of twelve lines with nineteen triple points (i.e., points where three lines meet). Both of them have the same combinatorial features. In…
On k-jet ampleness of line bundles on hyperelliptic surfaces
Lucja Farnik
We study k-jet ampleness of line bundles on hyperelliptic surfaces using vanishing theorems. Our main result states that on a hyperelliptic surface of an arbitrary type a line bund…
A note on Seshadri constants of line bundles on hyperelliptic surfaces
Lucja Farnik
We study Seshadri constants of ample line bundles on hyperelliptic surfaces. We obtain new lower bounds and compute the exact values of Seshadri constants in some cases. Our approa…