2 citations · 3 across the 4 of their papers we have counts for
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Seshadri constants of singular loci of line arrangements with at most twelve lines
Marcin Dumnicki, Łucja Farnik, Krishna Hanumanthu +4
Let be an arrangement of lines in the complex projective plane and let . A question of Pokora asks whether the multipoint…
Matrixwise (approach to unexpected hypersurfaces) Reloaded
Marcin Dumnicki, Grzegorz Malara, Halszka Tutaj-Gasińska
In the paper we provide a new method of proving the existence of a hypersurface of degree in , with a general point of multiplicity and vanishing at a given s…
Postulation of lines in P3 revisited
Marcin Dumnicki, Mikolaj Le Van, Grzegorz Malara +3
The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good…
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…
On absolute linear Harbourne constants
Marcin Dumnicki, Daniel Harrer, Justyna Szpond
In the present note we study absolute linear Harbourne constants. These are invariants which were introduced in order to relate the lower bounds on the selfintersection of negative…