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Real equisingularity: Lelong numbers and polar projections. (Équisingularité réelle: Nombres de Lelong et images polaires.) (French) Zbl 0981.32018
It is proved that the Lelong numbers are continuous along Verdier strata using an extension to the reals of a theorem of Hironaka. The real analogues of codimension 1 complex polar varieties, their images under the projections defining them is used to obtain an equisingularity condition in subanalytic geometry, the continuity of the Lelong numbers, a real version of equimultiplicity.

MSC:
32S15 Equisingularity (topological and analytic)
32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
28A75 Length, area, volume, other geometric measure theory
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