3 papers
math.AG2026
Modular inequalities and Alexander polynomials of pencil type conic-line arrangements
Anca Macinic
We use recent results, among which modular inequalities for curves, to determine the Alexander polynomials for some classes of pencil-type conic-line arrangements. For these classe…
math.AG2025
Deletion-addition of a smooth conic for free curves
Anca Macinic
We describe the behaviour of a free reduced plane projective curve with respect to the deletion, respectively addition, of a smooth conic. These results apply in particular to coni…
math.AG2024
On plus-one generated conic-line arrangements with simple singularities
Anca MÄcinic, Piotr Pokora
In this paper we study plus-one generated arrangements of conics and lines in the complex projective plane with simple singularities. We provide several degree-wise classification…