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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…
math.AC2021
Principal Radical Systems, Lefschetz Properties and Perfection of Specht Ideals of Two-Rowed Partitions
Chris McDaniel, Junzo Watanabe
We show that the Specht ideal of a two-rowed partition is perfect over an arbitrary field, provided that the characteristic is either zero or bounded below by the size of the secon…