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  • https://math.libretexts.org/Bookshelves/Analysis/Tasty_Bits_of_Several_Complex_Variables_(Lebl)/06%3A_Complex_Analytic_Varieties/6.08%3A_Segre_Varieties_and_CR_Geometry
    For every pM there exists a neighborhood U of p with the following property: If qMU and (X,q) is a germ of a complex subvariety such that (X,q)(M,q), t...For every pM there exists a neighborhood U of p with the following property: If qMU and (X,q) is a germ of a complex subvariety such that (X,q)(M,q), then there exists a complex subvariety YU (in particular a closed subset of U) such that YM and (X,q)(Y,q).

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