On polynomials with given Hilbert function and applications

• Autores: Alessandra Bernardi, Joachim Jelisiejew, Pedro Macias Marques , Kristian Ranestad
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 69, Fasc. 1, 2018, págs. 39-64
• Idioma: inglés
• DOI: 10.1007/s13348-016-0190-2
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• Resumen

  • 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.