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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…