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Local polar varieties in the geometric study of singularities

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Local polar varieties in the geometric study of singularities
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16
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In this talk we will review the definition of local polar variety of a germ of singularity (X,x) and discuss the fundamental role they play in describing the minimal Whitney stratification of the germ, and the set of limits of tangent spaces to (X,x) as developed mainly by Lê Dung Tràng and Bernard Teissier in the late 70's and 80's.