%0 Journal Article
%T Riemann surfaces out of paper
%A Andr¨¦ de Carvalho
%A Toby Hall
%J Mathematics
%D 2011
%I arXiv
%R 10.1112/plms/pdt020
%X Let S be a surface obtained from a plane polygon by identifying infinitely many pairs of segments along its boundary. A condition is given under which the complex structure in the interior of the polygon extends uniquely across the quotient of its boundary to make S into a closed Riemann surface. When this condition holds, a modulus of continuity is obtained for a uniformizing map on S.
%U http://arxiv.org/abs/1110.4011v1