Work

Noninjectivity of the monodromy of certain equicritical strata

Year: 2025

Type: article

Abstract: An equicritical stratum is the locus of univariate monic squarefree complex polynomials where the critical points have prescribed multiplicities. Tracking the positions of both roots and critical points, there is a natural “monodromy map” taking the fundamental group into a braid group. We show here that when there are exactly two critical points, this monodromy map is noninjective.

Source: Geometriae Dedicata

DOI: 10.1007/s10711-025-01027-0

Authors: Peter Huxford, Nick Salter

Institutions: Rice University, University of Notre Dame

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,090

Funder: National Science Foundation