39 citations · 156 across the 32 of their papers we have counts for
3 papers · 2 filters
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…
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…