output
20012022
most citedOn polynomials with given Hilbert function and applications

15 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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5 papers · 1 filter

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.AC2018★ 5 cited

Symmetric Decomposition of the Associated Graded Algebra of an Artinian Gorenstein Algebra

Anthony Iarrobino, Pedro Macias Marques

We study the symmetric subquotient decomposition of the associated graded algebras of a non-homogeneous commutative Artinian Gorenstein (AG) algebra . This decomposition a…

math.AC2018★ 6 cited

Free extensions and Lefschetz properties, with an application to rings of relative coinvariants

Chris McDaniel, Shujian Chen, Anthony Iarrobino +1

Graded Artinian algebras can be regarded as algebraic analogues of cohomology rings (in even degrees) of compact topological manifolds. In this analogy, a free extension of a base…

math.AC2018

Artinian algebras and Jordan type

Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel

The Jordan type of an element of the maximal ideal of an Artinian k-algebra A acting on an A-module M of k-dimension n, is the partition of n given by the Jordan block decom…

math.AC2012★ 15 cited

On polynomials with given Hilbert function and applications

Alessandra Bernardi, Joachim Jelisiejew, Pedro Macias Marques +1

Using Macaulay's correspondence we study the family of Artinian Gorenstein local algebras with fixed symmetric Hilbert function decomposition. As an application we give a new lower…