5 papers
On homological properties of conic-line arrangements with simple singularities
Artur Bromboszcz
We study arrangements of smooth conics and lines in the complex projective plane whose singularities are limited to nodes, tacnodes, and ordinary triple points. The first part of t…
On plus-one generated arrangements of plane conics
Artur Bromboszcz, Bartosz JarosÅawski, Piotr Pokora
In this paper, we examine the combinatorial properties of conic arrangements in the complex projective plane that possess certain quasi-homogeneous singularities. First, we introdu…
On combinatorics of plus-one generated line arrangements
Artur Bromboszcz
In this note we focus on combinatorial aspects of plus-one generated line arrangements. We provide combinatorial constraints on such arrangements and we construct a polynomial that…
Arrangements of inflectional lines, hyperosculating conics, and plane cubics
Artur Bromboszcz
In the present note we study some arrangements of inflectional lines, hyperosculating conics, and a nodal plane cubic that are free. Moreover, we study weak combinatorics of arrang…
Minimal plus-one generated line arrangements with double and triple intersection points
Artur Bromboszcz
We provide a complete classification, in the language of weak-combinatorics, of minimal plus-one generated line arrangements in the complex projective plane with double and triple…