A note on contact surgery diagrams

Abstract. We prove that for any positive integer k the stabilization of a 1k-surgery curve in a contact surgery diagram induces an overtwisted contact structure. In [DG], Ding and Geiges proved that every (closed) contact 3-manifold can be given by a contact (±1)-surgery on a Legendrian link in the standard contact S3. Here we use the parenthesis to emphasize that the surgery coefficients are measured with respect to the contact framing. If the coefficients of all the curves in a contact surger