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arxiv: 0905.0556 · v1 · submitted 2009-05-05 · 🧮 math.DG · math.AG

Vector fields liftable over corank 1 stable maps

classification 🧮 math.DG math.AG
keywords mapscorankfieldsliftablestablevectoranalyticapplied
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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.

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