| Title | On complex homogeneous singularities |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Lê, QThuong, Nguyen, LPhu Hoang, Pho, DTai |
| Journal | Bull. Aust. Math. Soc. |
| Volume | 100 |
| Pagination | 395–409 |
| Abstract | We study the singularity at the origin of $\mathbb{C}^{n+1}$ of an arbitrary homogeneous polynomial in $n+1$ variables with complex coefficients, by investigating the monodromy characteristic polynomials $\unicode[STIX]{x1D6E5}_{l}(t)$ as well as the relation between the monodromy zeta function and the Hodge spectrum of the singularity. In the case $n=2$, we give a description of $\unicode[STIX]{x1D6E5}_{C}(t)=\unicode[STIX]{x1D6E5}_{1}(t)$ in terms of the multiplier ideal. |
