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math.AC2022★ 1 cited
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…
math.AC2022★ 2 cited
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…