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 the dimension of cactus varieties of the third Veronese embedding. We discuss the case of cubic surfaces, where interesting phenomena occur.
On polynomials with given Hilbert function and applications / Bernardi, Alessandra; Jelisiejew, Joachim; Macias Marques, Pedro; Ranestad, Kristian. - In: COLLECTANEA MATHEMATICA. - ISSN 2038-4815. - 2018:Volume 69, Issue 1(2018), pp. 39-64. [10.1007/s13348-016-0190-2]
On polynomials with given Hilbert function and applications
Bernardi, Alessandra;
2018-01-01
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 the dimension of cactus varieties of the third Veronese embedding. We discuss the case of cubic surfaces, where interesting phenomena occur.File in questo prodotto:
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Descrizione: This is a post-peer-review, pre-copyedit version of an article published in Collectanea Mathematica. The final authenticated version is available online at: https://doi.org/10.1007/s13348-016-0190-2
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