4 papers
Gotzmann's persistence theorem for Mori dream spaces
Patience Ablett
Gotzmann's persistence theorem provides a method for determining the Hilbert polynomial of a subscheme of projective space by evaluating the Hilbert function at only two points, ir…
Gotzmann's persistence theorem for smooth projective toric varieties
Patience Ablett
Gotzmann's persistence theorem enables us to confirm the Hilbert polynomial of a subscheme of projective space by checking the Hilbert function in just two points, regardless of th…
Deformations of half-canonical Gorenstein curves in codimension four
Patience Ablett, Stephen Coughlan
Recent work of Ablett arXiv:2112.03400 and Kapustka, Kapustka, Ranestad, Schenck, Stillman and Yuan arXiv:2111.05817 outlines a number of constructions for singular Gorenstein codi…
Halfcanonical Gorenstein curves of codimension four
Patience Ablett
Recent work of Schenck, Stillman and Yuan arXiv:2011.10871 outlines all possible Betti tables for Artin Gorenstein algebras with regularity() = 4 = codim(). We populate t…