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arXiv · 2310.07976

Higher Jacobian ideals, contact equivalence and motivic zeta functions

Quy Thuong Lê·Takehiko Yasuda
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Abstract

We show basic properties of higher Jacobian matrices and higher Jacobian ideals for functions and apply it to obtain two results concerning singularities of functions. Firstly, we prove that a higher Nash blowup algebra is invariant under contact equivalences, which was recently conjectured by Hussain, Ma, Yau and Zuo. Secondly, we obtain an analogue of a result on motivic nearby cycles by Bussi, Joyce and Meinhardt.

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Quy Thuong Lê, Takehiko Yasuda. 2023-10-12. Higher Jacobian ideals, contact equivalence and motivic zeta functions. https://arxiv.org/abs/2310.07976

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