3 papers
math.AG2025
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…
math.AG2024
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…
math.AG2018
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…