8 citations · 31 across the 7 of their papers we have counts for
7 papers
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:…
On the unique unexpected quartic in
Łucja Farnik, Francesco Galuppi, Luca Sodomaco +1
The computation of the dimension of linear systems of plane curves through a bunch of given multiple points is one of the most classic issues in Algebraic Geometry. In general, it…
Restrictions on Seshadri constants on surfaces
Lucja Farnik, Tomasz Szemberg, Justyna Szpond +1
Starting with the pioneering work of Ein and Lazarsfeld restrictions on values of Seshadri constants on algebraic surfaces have been studied by many authors. In the present note we…
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…
A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces
Lucja Farnik
We study k-very ampleness of line bundles on blow-ups of hyperelliptic surfaces at r very general points. We obtain a numerical condition on the number of points for which a line b…
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…