70 citations · 294 across the 26 of their papers we have counts for
29 papers · 1 filter
Negative curves on special rational surfaces
Marcin Dumnicki, Lucja Farnik, Krishna Hanumanthu +4
We study negative curves on surfaces obtained by blowing up special configurations of points in the complex projective palne. Our main results concern the following configurations:…
A matrixwise approach to unexpected hypersurfaces
Marcin Dumnicki, Lucja Farnik, Brian Harbourne +3
The aim of this note is to give a generalization of some results concerning unexpected hypersurfaces. Unexpected hypersurfaces occur when the actual dimension of the space of forms…
Veneroni maps
M. Dumnicki, L. Farnik, B. Harbourne +2
Veneroni maps are a class of birational transformations of projective spaces. This class contains the classical Cremona transformation of the plane, the cubo-cubic transformation o…
Local effectivity in projective spaces
Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond
In this note we introduce a Waldschmidt decomposition of divisors which might be viewed as a generalization of Zariski decomposition based on the effectivity rather than the nefnes…
A containment result in and the Chudnovsky conjecture
Marcin Dumnicki, Halszka Tutaj-Gasinska
In the paper we prove the containment , for a radical ideal of general points in , where . As a corollary we get tha…
Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants
Marcin Dumnicki, Lucja Farnik, Halszka Tutaj-Gasinska
In the paper we give an upper bound for the Waldschmidt constants of the wide class of ideals. This generalizes the result obtained by Dumnicki, Harbourne, Szemberg and Tutaj-Gasin…