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Higher order Jacobians, Hessians and Milnor algebras (1902.09146v2)
Published 25 Feb 2019 in math.AG and math.AC
Abstract: We introduce and study higher order Jacobian ideals, higher order and mixed Hessians, higher order polar maps, and higher order Milnor algebras associated to a reduced projective hypersurface. We relate these higher order objects to some standard graded Artinian Gorenstein algebras, and we study the corresponding Hilbert functions and Lefschetz properties.
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