Weber, MatthiasWolf, Michael2013-09-132013-09-132012Weber, Matthias and Wolf, Michael. "Handle Addition for Doubly-Periodic Scherk Surfaces." <i>Journal für die reine und angewandte Mathematik,</i> 670, (2012) De Gruyter: 173-216. http://dx.doi.org/10.1515/CRELLE.2011.161.https://hdl.handle.net/1911/71889We prove the existence of a family of embedded doubly periodic minimal surfaces of (quotient) genus g with orthogonal ends that generalizes the classical doubly periodic surface of Scherk and the genus-one Scherk surface of Karcher. The proof of the family of immersed surfaces is by induction on genus, while the proof of embeddedness is by the conjugate Plateau method.engThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by the publisher.Journal articlehttp://dx.doi.org/10.1515/CRELLE.2011.161