70 citations · 294 across the 26 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…
Resurgences for ideals of special point configurations in coming from hyperplane arrangements
Marcin Dumnicki, Brian Harbourne, Uwe Nagel +3
Symbolic powers of ideals have attracted interest in commutative algebra and algebraic geometry for many years, with a notable recent focus on containment relations between symboli…
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…