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A proof of the Proportionality Theorem

J. -P. Brasselet, J. Seade, T. Suwa

math.AGarXiv:math/0511601

Abstract

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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