Authors: Di Biagio, Lorenzo ×
Postinghel, Elisa #
Issue Date: 2013
Publisher: M. Dekker
Series Title: Communications in Algebra vol:41 issue:1 pages:226-237
Abstract: A result by Macaulay states that an Artinian graded Gorenstein ring R of socle dimension one and socle degree δ can be realized as the apolar ring of a homogeneous polynomial g of degree δ in x 0, , x n . If R is the Jacobian ring of a smooth hypersurface f(x 0, , x n ) = 0, then δ is equal to the degree of the Hessian polynomial of f. In this article we investigate the relationship between g and the Hessian polynomial of f, and we provide a complete description for n = 1 and deg(f) ≤4 and for n = 2 and deg(f) ≤3.
ISSN: 0092-7872
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

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