On the Zariski multiplicity conjecture for weighted homogeneous and\n Newton non-degenerate line singularities

2016/02/18 by Christophe Eyral, Eyral, Christophe, María Aparecida Soares Ruas +1
Mathematics · #14B05 #14B07 #14J17 #14J70 #32S05 #32S15 #32S25 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1602.05732

openalex publication_date 2016/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present new families of weighted homogeneous and Newton non-degenerate\nline singularities that satisfy the Zariski multiplicity conjecture.\n

Related

• Equimultiplicity of families of map germs from \ℂ² to\n \ℂ³
• Newton weighted-Lê-Yomdin polynomials and μ-Zariski pairs of surface singularities
• The link of f(x,y)+zⁿ=0 and Zariski's Conjecture
• Zariski's multiplicity conjecture for quasihomogeneous hypersurfaces with non-isolated singularities
• Topologically equisingular deformations of homogeneous hypersurfaces with line singularities are equimultiple