arXiv subjects

Izabela Leśniak

Publications and source records attributed to Izabela Leśniak.

2 recordsLinked to original sources

arXiv2025

On free line arrangements with double, triple and quadruple points

We show that there are only finitely many combinatorial types of free real line arrangements with only double, triple and quadruple intersection points, and we enlist all admissible weak-combinatorics of them. Then we classify all real $M$-line arrangements. In particular, we show that real $M$-line arrangements are simplicial.

math.AG↗

arXiv2025

On the existence of maximizing curves of odd degrees

In this paper we provide the non-existence criterion for the so-called maximizing curves of odd degrees. Furthermore, in the light of our criterion, we define a new class of plane curves that generalizes the notion of maximizing curves which we call as $M$-curves.

math.AG↗