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We prove a version of the Arezzo-Pacard-Singer blow-up theorem in the settingof Poincar\'e type metrics. We apply this to give new examples of extremalPoincar\'e type metrics. A key feature is an additional obstruction which hasno analogue in the compact case. This condition is conjecturally related toensuring the metrics remain of Poincar\'e type.

Blowing up extremal Poincar\'e type manifolds