On polynomials with given Hilbert function and applications
Commutative Algebra
2018-01-09 v6 Algebraic Geometry
Abstract
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 bound for cactus varieties of the third Veronese embedding. We discuss the case of cubic surfaces, where interesting phenomena occur.
Cite
@article{arxiv.1211.7306,
title = {On polynomials with given Hilbert function and applications},
author = {Alessandra Bernardi and Joachim Jelisiejew and Pedro Macias Marques and Kristian Ranestad},
journal= {arXiv preprint arXiv:1211.7306},
year = {2018}
}