Higher order Jacobians, Hessians and Milnor algebras
Algebraic Geometry
2019-09-17 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1902.09146,
title = {Higher order Jacobians, Hessians and Milnor algebras},
author = {Alexandru Dimca and Rodrigo Gondim and Giovanna Ilardi},
journal= {arXiv preprint arXiv:1902.09146},
year = {2019}
}
Comments
v2: minor changes, final version to appear in Collectanea Mathematica