10 citations · 17 across the 4 of their papers we have counts for
6 papers
Numerical invariants and moduli spaces for line arrangements
Alexandru Dimca, Denis Ibadula, Daniela Anca Macinic
Using several numerical invariants, we study a partition of the space of line arrangements in the complex projective plane, given by the intersection lattice types. We offer also a…
On the geometry and topology of partial configuration spaces of Riemann surfaces
Barbu Berceanu, Daniela Anca Macinic, Stefan Papadima +1
We examine complements (inside products of a smooth projective complex curve of arbitrary genus) of unions of diagonals indexed by the edges of an arbitrary simple graph. We use Gy…
Flat connections and resonance varieties: from rank one to higher ranks
Daniela Anca Macinic, Stefan Papadima, Clement Radu Popescu +1
Given a finitely-generated group and a linear algebraic group , the representation variety Hom has a natural filtration by the characteristic varieties associated to…
Pencil type line arrangements of low degree: classification and monodromy
Alexandru Dimca, Denis Ibadula, Daniela Anca Macinic
The complete classification of (3,3)-nets and of (3,4)-nets with only double and triple points is given. Up to lattice isomorphism, there are exactly 3 effective possibilities in e…
On the second nilpotent quotient of higher homotopy groups, for hypersolvable arrangements
Daniela Anca Macinic, Daniel Matei, Stefan Papadima
We examine the first non-vanishing higher homotopy group, , of the complement of a hypersolvable, non--supersolvable, complex hyperplane arrangement, as a module over the grou…
A survey of combinatorial aspects in the topology of complex hyperplane arrangements
D. A. Macinic
We survey interactions between the topology and the combinatorics of complex hyperplane arrangements. Without claiming to be exhaustive, we examine in this setting combinatorial as…