3 citations · 3 across the 10 of their papers we have counts for
6 papers · 1 filter
On the boundedness of some real line arrangements of type at most one
Marek Janasz
In this note, we show that real line arrangements of type at most one, admitting only intersection points of multiplicity at most five, satisfy certain boundedness properties. In p…
Unexpected hypersurfaces of type
Marek Janasz, Grzegorz Malara, Halszka Tutaj-Gasińska
Unexpected hypersurfaces arise when vanishing in points of a set and higher-order vanishing along a general linear subspace fails to impose the expected number of independent c…
On free line arrangements with double, triple and quadruple points
Marek Janasz, Izabela Leśniak
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 admissibl…
On the existence of maximizing curves of odd degrees
Marek Janasz, Izabela Leśniak
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…
On Seshadri constants and point-curve configurations
Marek Janasz, Piotr Pokora
In the note we study the multipoint Seshadri constants of centered at singular loci of certain curve arrangements in the complex proj…
New phenomena in the containment problem for simplicial arrangements
Marek Janasz, Magdalena Lampa-Baczyńska, Grzegorz Malara
In this note we consider two simplicial arrangements of lines and ideals of intersection points of these lines. There are intersection points in both cases and the number…