39 citations · 156 across the 32 of their papers we have counts for
5 papers · 1 filter
Unexpected hypersurfaces with multiple fat points
Justyna Szpond
Starting with the ground-breaking work of Cook II, Harbourne, Migliore and Nagel, there has been a lot of interest in unexpected hypersurfaces. In the last couple of months a consi…
Unexpected curves and Togliatti-type surfaces
Justyna Szpond
The purpose of this note is to establish a direct link between the theory of unexpected hypersurfaces and varieties with defective osculating behavior. We identify unexpected plane…
Quartic unexpected curves and surfaces
Thomas Bauer, Grzegorz Malara, Tomasz Szemberg +1
Our research is motivated by recent work of Cook II, Harbourne, Migliore, and Nagel on configurations of points in the projective plane with properties that are unexpected from the…
Lower bounds for Waldschmidt constants of generic lines in and a Chudnovsky-type theorem
Marcin Dumnicki, Mohammad Zaman Fashami, Justyna Szpond +1
The Waldschmidt constant $\alphahat(I)$ of a radical ideal in the coordinate ring of $\PP^N$ measures (asymptotically) the degree of a hypersurface passing through the set defi…
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…