Abstract
If v is a regular tangent vector to an analytic variety X at a point xεX, then there is an uniformization of X into the direction given by v. If the canonical structure of the tangent cone is reduced, then all regular points of the cone are regular vectors.
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Literatur
STUTZ, J.; Analytic sets as branched coverings. Transactions of the AMS 166, 1972, 241–259
WHITNEY, H.; Complex analytic varieties. Addison-Wesley Pub. Comp. 1972
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Reiffen, HJ. Richtungsuniformisierung bei analytischen Mengen. Manuscripta Math 17, 15–20 (1975). https://doi.org/10.1007/BF01154280
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DOI: https://doi.org/10.1007/BF01154280