29 citations · 60 across the 12 of their papers we have counts for
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math.AG2023★ 3 cited
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…
math.AG2023★ 1 cited
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…
math.AG2023★ 3 cited
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…