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arXiv · 2411.15097

On the Structure of Second Jacobian Ideals

Fei Ye
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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.

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Fei Ye. 2024-11-22. On the Structure of Second Jacobian Ideals. https://doi.org/10.1007/s13366-025-00791-0

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