29 citations · 60 across the 12 of their papers we have counts for
9 papers · 1 filter
A generalized Saito criterion, from line arrangements to curves
Anca Măcinic
We formulate a generalized Saito criterion for complex projective plane curves, building on a recent generalized Saito criterion for plus-one generated arrangements of hyperplanes…
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…
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…
Addition-deletion results for plus-one generated curves
Anca Măcinic, Piotr Pokora
In the recent paper A. Dimca proves that when one adds to or deletes a line from a free curve the resulting curve is either free or plus-one generated. We prove the converse statem…
A geometric perspective on plus-one generated arrangements of lines
Anca Macinic, Jean Vallès
We give a geometric characterisation of plus-one generated projective line arrangements that are next-to-free. We present new succinct proofs, via associated line bundles, for some…
On plus-one generated conic-line arrangements with simple singularities
Anca Măcinic, 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…
On some freeness-type properties for line arrangements
Takuro Abe, Denis Ibadula, Anca Măcinic
By way of Ziegler restrictions we study the relation between nearly free plane arrangements and combinatorics and we give a Yoshinaga-type criterion for plus-one generated plane ar…
Modular equalities for complex reflection arrangements
Daniela Anca Macinic, Stefan Papadima, Clement Radu Popescu
We compute the combinatorial Aomoto-Betti numbers of a complex reflection arrangement. When has rank at least , we find that $β_p(\mathcal{A})\l…
On the monodromy action on Milnor fibers of graphic arrangements
Anca Daniela Macinic, Stefan Papadima
We analyze the monodromy action, over the rationals, on the first homology group of the Milnor fiber, for arbitrary subarrangements of Coxeter arrangements. We propose a combinator…