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math.AG2026
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…
math.AG2026
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…
math.AG2025
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…