2007/06/11 by Maxim Kazarian, M. E. Kazarian, Kazarian, M. E. +3 · 1 citation
Mathematics · Physics and Astronomy · #14B07 #14C17 #14N35 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #msc:14B07 #msc:14C17 #msc:14N35
paper · pdf · doi:10.48550/arxiv.0706.1523
16 pages
arxiv created 2007/06/11 · openalex publication_date 2007/06/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Thom (residual) polynomials in characteristic classes are used in the analysis of geometry of functional spaces. They serve as a tool in description of classes Poincaré dual to subvarieties of functions of prescribed types. We give explicit universal expressions for residual polynomials in spaces of functions on complex curves having isolated singularities and multisingularities, in terms of few characteristic classes. These expressions lead to a partial explicit description of a stratification of Hurwitz spaces.