15 citations · 71 across the 16 of their papers we have counts for
9 papers · 1 filter
Jordan type of an Artinian algebra, a survey
Nasrin Altafi, Anthony Iarrobino, Pedro Macias Marques
We consider Artinian algebras over a field , both graded and local algebras. The Lefschetz properties of graded Artinian algebras have been long studied, but more r…
Hilbert functions and Jordan type of Perazzo Artinian algebras
Nancy Abdallah, Nasrin Altafi, Pietro De Poi +6
We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Pe…
Artinian Gorenstein algebras of embedding dimension four and socle degree three
Pedro Macias Marques, Oana Veliche, Jerzy Weyman
We prove that in the polynomial ring , with an algebraically closed field of characteristic zero, all Gorenstein homogeneous ideals such tha…
Higher Lorentzian Polynomials, Higher Hessians, and the Hodge-Riemann Property for Graded Oriented Artinian Gorenstein Algebras in Codimension Two
Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu +1
A (standard graded) oriented Artinian Gorenstein algebra over the real numbers is uniquely determined by a real homogeneous polynomial called its Macaulay dual generator. We study…
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…
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…