Can I read The Aluffi Algebra of a hypersurface with isolated singularity on EtoBox?

The Aluffi Algebra of a hypersurface with isolated singularity by Nejad, Abbas Nasrollah is a scholarly article available to read on EtoBox.

What is The Aluffi Algebra of a hypersurface with isolated singularity about?

The Aluffi algebra is algebraic definition of characteristic cycles of a hypersurface in intersection theory. In this paper we focus on the Aluffi algebra of quasi-homogeneous and locally Eulerian hypersurface with isolated singularities. We prove that the Jacobian ideal of an affine hypersurfac with isolated singularities is of linear type if and only if it is locally Eulerian. We show that the gradient ideal of a projective hypersurface is of linear type if and only if the corresponding affine curve in the affine chart associated to singular points is locally Eulerian. We prove that the gradient ideal of the Nodal and Cuspidal projective plane curves are of linear type.

Author

Nejad, Abbas Nasrollah

Published

2017

Language

EN