Apolarity, Hessian and Macaulay polynomials

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 ℂ[∂/∂x0,...,∂/∂xn]/g⊥of a homogeneous polynomial g of degree δ in x0,..., xn. If R is the Jacobian ring of a smooth hypersurface f(x0,..., xn) = 0, then...

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Bibliographic Details

Main Authors:	Lorenzo Di Biagio, Elisa Postinghel
Format:	Default Article
Published:	2013
Subjects:	Other mathematical sciences not elsewhere classified Apolarity Hessian polynomial Jacobian ring Macaulay correspondence Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/25239
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