| Title | Higher Jacobian ideals, contact equivalence and motivic zeta functions |
| Publication Type | Journal Article |
| Year of Publication | 2024 |
| Authors | Lê, QThuong, Yasuda, T |
| Journal | Bibl. Rev. Mat. Iberoamericana |
| Abstract | We show basic properties of higher Jacobian matrices and higher Jacobian ideals for functions and apply it to obtain two main 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. |
