Monodromy of plane curves and quasi-ordinary surfaces

2009/02/15 by Gary J. Kennedy, Kennedy, Gary, Lee J. McEwan +1
Mathematics · #14B05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0902.2580

openalex publication_date 2009/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop recursive formulas for the horizontal and vertical monodromies of a quasi-ordinary surface. These are monodromies associated to the Milnor fiber of a slice transverse to a component of the singular locus. In the course of working out these recursions, we have discovered what appears to be a new way to express the monodromy associated to the Milnor fibration of a singular plane curve.

Related

• The monodromy conjecture for a space monomial curve with a plane\n semigroup
• Plane curve singularities via divides
• The Milnor fiber of the singularity f(x,y) + zg(x,y) = 0
• Monodromy of real isolated singularities
• On the Milnor fiber boundary of a quasi-ordinary surface