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math.AC2021★ 1 cited
Reducibility of a family of local Artinian Gorenstein algebras
Anthony Iarrobino, Pedro Macias Marques
The Jordan type of an Artinian algebra is the Jordan block partition associated to multiplication by a generic element of the maximal ideal. We study the Jordan type for Artinian G…
math.AC2021
Cohomological Blow Ups of Graded Artinian Gorenstein Algebras Along Surjective Maps
Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel +2
We introduce the cohomological blow up of a graded Artinian Gorenstein (AG) algebra along a surjective map, which we term BUG (Blow Up Gorenstein) for short. This is intended to tr…