On complex homogeneous singularities

In this article, we consider the singularity of an arbitrary homogeneous polynomial with complex coefficients \(f(x_0,\dots,x_n)\) at the origin of \(\mathbb C^{n+1}\), via the study of the monodromy characteristic polynomials \(\Delta_l(t)\), and the relation between the monodromy zeta function and...

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Bibliographic Details
Published in:arXiv.org 2017-11
Main Authors: Le Quy Thuong, Nguyen Phu Hoang Lan, Tai, Pho Duc
Format: Article
Language:English
Subjects:
Polynomials
Singularities
Online Access:Get full text
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Summary:In this article, we consider the singularity of an arbitrary homogeneous polynomial with complex coefficients \(f(x_0,\dots,x_n)\) at the origin of \(\mathbb C^{n+1}\), via the study of the monodromy characteristic polynomials \(\Delta_l(t)\), and the relation between the monodromy zeta function and the Hodge spectrum of the singularity. We go further with \(\Delta_1(t)\) in the case \(n=2\). This work is based on knowledge of multiplier ideals and local systems.
ISSN:2331-8422