Vector fields liftable over corank 1 stable maps

2009/05/05 by Kevin Houston, Houston, Kevin, Daniel Littlestone +1
Mathematics · #58C25 #58K40 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG #msc:58C25 #msc:58K40

paper · pdf · doi:10.48550/arxiv.0905.0556

26 pages

arxiv created 2009/05/05 · openalex publication_date 2009/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generators for the module of vector fields liftable over corank 1 stable complex analytic maps from an n-manifold to an (n+1)-manifold are found. This is applied to the classification of the singularities occuring in generic one-parameter families of maps between these spaces.

Citations

• A and the vanishing topology of discriminants

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