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arXiv · 1902.09146

Higher order Jacobians, Hessians and Milnor algebras

Alexandru Dimca·Rodrigo Gondim·Giovanna Ilardi
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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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Alexandru Dimca, Rodrigo Gondim, Giovanna Ilardi. 2019-02-25. Higher order Jacobians, Hessians and Milnor algebras. https://arxiv.org/abs/1902.09146

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