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arXiv · 1901.03833

Hypersurfaces with linear type singular loci

Amir Behzad Farrahy·Abbas Nasrollah Nejad
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Abstract

In this paper, necessary and sufficient criteria for the Jacobian ideal of a reduced hypersurface with isolated singularity to be of linear type, are presented. We prove that the gradient ideal of a reduced projective plane curve with simple singularities ($\mathrm{ADE}$) is of linear type. We show that any reduced projective quartic curve is of gradient linear type.

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Amir Behzad Farrahy, Abbas Nasrollah Nejad. 2019-01-12. Hypersurfaces with linear type singular loci. https://arxiv.org/abs/1901.03833

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