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ON COMPLEX HOMOGENEOUS SINGULARITIES
Published online by Cambridge University Press: 27 May 2019
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.
Keywords
MSC classification
Primary:
14B05: Singularities
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 100 , Issue 3 , December 2019 , pp. 395 - 409
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
Footnotes
The first author’s research is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number FWO.101.2015.02; the third author’s research is funded by the Vietnam National University, Hanoi (VNU), under project number QG.15.02.
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