Cancelling Cr Singularities of 3 $3$ 3-Manifolds in Complex Threefolds

Let M be a closed oriented 3 $3$ 3 -manifold generically embedded in a complex 3 $3$ 3 -manifold X . Its CR singular set is an oriented link L ⊂ M L⊂ M upper L subset of upper M . We prove that if a sublink L ′ ⊂ L L'⊂ L upper L prime subset of upper L bounds an oriented Seifert surface S ⊂ M S⊂ M upper S subset of upper M in the complement of L ∖ L ′ L L' upper L minus upper L prime , then the CR singularities along L ′ $L'$ upper L prime can be cancelled by an arbitrarily C 0 C⁰ script upper C Superscript 0 -small isotopy supported in an arbitrarily small neighbourhood of S .