On the Structure of Second Jacobian Ideals
Algebraic Geometry
2025-03-27 v2
Abstract
We show that the second Jacobian ideal of a hypersurface can be decomposed such that a power of the Jacobian ideal becomes a factor. As an application of the decomposition, we present an elementary proof establishing that the second Nash blow-up algebra of a hypersurface singularity is a contact invariant.
Keywords
Cite
@article{arxiv.2411.15097,
title = {On the Structure of Second Jacobian Ideals},
author = {Fei Ye},
journal= {arXiv preprint arXiv:2411.15097},
year = {2025}
}
Comments
Final version. Corrected typos and enhanced proofs based on the referee's suggestions. To appear in Beitr Algebra Geom