A proof of the Proportionality Theorem

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

The purpose of this note is to give a direct and self-contained proof of the
Proportionality Theorem of Brasselet-Schwartz. This theorem relates the
Schwartz indices of frames obtained by radial extension on Whitney stratified
analytic spaces, with the obstructions to extending the canonical lifting of
these frames as non-zero sections of the corresponding Nash bundle.

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