On complex homogeneous singularities

2016/11/01 by Le Quy Thuong, Thuong, Le Quy, Nguyen Phu Hoang Lan +3 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1611.00186

changed title

arxiv created 2017/11/13 · arxiv updated 2017/11/15

Abstract

In this article, we consider the singularity of an arbitrary homogeneous polynomial with complex coefficients f(x₀,…,x_n) at the origin of \mathbb Cⁿ⁺¹, via the study of the monodromy characteristic polynomials Δ_l(t), and the relation between the monodromy zeta function and the Hodge spectrum of the singularity. We go further with Δ₁(t) in the case n=2. This work is based on knowledge of multiplier ideals and local systems.

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