4 papers
Interpolation matrices and jumping lines of logarithmic bundles
Elena Guardo, Graham Keiper, Grzegorz Malara
We study jumping lines loci of logarithmic bundles associated with finite sets of points in the projective plane. Using the interpolation matrix introduced in [DMTG25], we describe…
Matrixwise (approach to unexpected hypersurfaces) Reloaded
Marcin Dumnicki, Grzegorz Malara, Halszka Tutaj-GasiÅska
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…
Construction of free curves by adding osculating conics to a given cubic curve
Alexandru Dimca, Giovanna Ilardi, Grzegorz Malara +1
In the present article we construct new families of free and nearly free curves starting from a plane cubic curve and adding some of its hyperosculating conics. We present resu…