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.
Higher order Jacobians, Hessians and Milnor algebras / Dimca, Alexandru; Gondim, Rodrigo; Ilardi, Giovanna. - In: COLLECTANEA MATHEMATICA. - ISSN 2038-4815. - 71:(2020), pp. 407-425. [10.1007/s13348-019-00266-1]
Higher order Jacobians, Hessians and Milnor algebras
Giovanna Ilardi
2020
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.File in questo prodotto:
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