Vector fields liftable over corank 1 stable maps

Mathematics – Differential Geometry

Scientific paper

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26 pages

Scientific paper

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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