39 citations · 156 across the 32 of their papers we have counts for
4 papers · 1 filter
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…
Asymptotic Hilbert Polynomial and limiting shapes
Marcin Dumnicki, Justyna Szpond, Halszka Tutaj-Gasinska
The main aim of this paper is to provide a method which allows finding limiting shapes of symbolic generic initial systems of higher-dimensional subvarieties of P^n. M. Mustata and…
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…
Symbolic generic initial systems of star configurations
Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond +1
The purpose of this note is to describe limiting shapes (as introduced by Mayes) of symbolic generic initial systems of star configurations in projective spaces over a field of cha…