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On polynomials with given Hilbert function and applications

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 نشر من قبل Pedro Macias Marques
 تاريخ النشر 2012
  مجال البحث
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Using Macaulays 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.



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