English

Hypersurfaces with linear type singular loci

Commutative Algebra 2019-01-15 v1 Algebraic Geometry

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 (ADE\mathrm{ADE}) is of linear type. We show that any reduced projective quartic curve is of gradient linear type.

Keywords

Cite

@article{arxiv.1901.03833,
  title  = {Hypersurfaces with linear type singular loci},
  author = {Amir Behzad Farrahy and Abbas Nasrollah Nejad},
  journal= {arXiv preprint arXiv:1901.03833},
  year   = {2019}
}

Comments

17 pages, Comments are welcome

R2 v1 2026-06-23T07:09:40.782Z