4 papers
On the non-existence of certain maximizing curves of degree 7
Łukasz Merta, Marcin Zieliński
In this paper we show there does not exist any arrangement of degree consisting of conics and lines admitting certain naturally chosen -singulari…
Dihedral reflections and an infinite series of irrational Seshadri constants
Grzegorz Malara, Łukasz Merta, Justyna Szpond +1
Laface and Ugaglia recently constructed an irrational one-point Seshadri constant on the blow-up of at nine very general points by combining a dihedral orbit on $\ma…
On free arrangements of three conics
Łukasz Merta, Filip Zieliński, Marcin Zieliński
We give a complete classification of free arrangement of three smooth conics on complex projective plane admitting only singularities and singularities.
On quartics with the maximal number of the maximal tangency lines
Łukasz Merta, Marcin Zieliński
In this note, we examine the arrangements of lines and configurations of points that emerge from Fermat (von Dyck) and Komiya-Kuribayashi quartics. These quartics are characterized…