11 citations · 20 across the 12 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.CO2022
Nets in and Alexander Duality
Nancy Abdallah, Hal Schenck
A net in is a configuration of lines and points satisfying certain incidence properties. Nets appear in a variety of settings, ranging from quasigro…
math.AC2022★ 1 cited
Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four
Nancy Abdallah, Hal Schenck
In 1978, Stanley constructed an example of an Artinian Gorenstein (AG) ring with non-unimodal -vector . Migliore-Zanello later showed that for regularity $r=…
math.AC2022★ 3 cited
Lefschetz properties of some codimension three Artinian Gorenstein algebras
Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino +2
Codimension two Artinian algebras have the strong and weak Lefschetz properties provided the characteristic is zero or greater than the socle degree. It is open to what extent…