22 citations · 102 across the 21 of their papers we have counts for
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On the Sylvester-Gallai theorem for conics
Adam Czaplinski, Marcin Dumnicki, Lucja Farnik +6
In the present note we give a new proof of a result due to Wiseman and Wilson which establishes an analogue of the Sylvester-Gallai theorem valid for curves of degree two. The main…
On the containment hierarchy for simplicial ideals
Magdalena Lampa-Baczyńska, Grzegorz Malara
The purpose of this note is to study containment relations and asymptotic invariants for ideals of fixed codimension skeletons (simplicial ideals) determined by arrangements of $n…
Line arrangements with the maximal number of triple points
Marcin Dumnicki, Lucja Farnik, Agata Glowka +5
The purpose of this note is to study configurations of lines in projective planes over arbitrary fields having the maximal number of intersection points where three lines meet. We…