output
20012022
most citedOn polynomials with given Hilbert function and applications

15 citations

Showing 2018Show all

6 papers · 1 filter

math.DG2018★ 3 cited

Minkowski identities for hypersurfaces in constant sectional curvature manifolds

R. Albuquerque

We give a new proof of the generalized Minkowski identities relating the higher degree mean curvatures of orientable closed hypersurfaces immersed in a given constant sectional cur…

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.AG2018★ 8 cited

Skew-Symmetric Tensor Decomposition

Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques +1

We introduce the ``skew apolarity lemma'' and we use it to give algorithms for the skew-symmetric rank and the decompositions of tensors in { with $d\leq…

math.DG2018★ 6 cited

Notes on the Sasaki metric

Rui Albuquerque

We survey on the geometry of the tangent bundle of a Riemannian manifold, endowed with the classical metric established by S. Sasaki 60 years ago. Following the results of Sasaki,…

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…