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We give a simple proof of the fact that an "$f$-estimate" for the $\bar\partial$-Neumann problem implies a lower bound on the geomatric type of the boundary along any complex one dimensional variety. The proof uses the existence of peak functions which is in turn a consequence of the $f$-estimate.

Lower bound for the geometric type from a generalized estimate in the ̅∂-Newmann problem - a new approach by peak functions