4 papers
Fat base schemes and unexpected hypersurfaces of type
Grzegorz Malara
We study hypersurfaces of degree containing a prescribed zero-dimensional fat point scheme and having multiplicity at least along a general codimen…
From Demailly's Inequality to Harbourne--Huneke Containments for General Points
Grzegorz Malara
Let be the defining ideal of a general set of points in projective -space over an algebraically closed field. Harbourne and Huneke conjectured the strengthened symbolic…
On the Geometry of Sixers on the Fermat Cubic Surface
Giuseppe Favacchio, Grzegorz Malara
A sixer is a configuration of six pairwise skew lines on a smooth cubic surface, equivalently a choice of six exceptional curves defining a blow-down to . We study th…
Unexpected hypersurfaces of type
Marek Janasz, Grzegorz Malara, Halszka Tutaj-Gasińska
Unexpected hypersurfaces arise when vanishing in points of a set and higher-order vanishing along a general linear subspace fails to impose the expected number of independent c…