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Riemann surfaces out of paper

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Autor(es):
de Carvalho, Andre ; Hall, Toby
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY; v. 108, p. 34-pg., 2014-03-01.
Resumo

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. (AU)

Processo FAPESP: 06/03829-2 - Dinâmica em baixas dimensões
Beneficiário:André Salles de Carvalho
Modalidade de apoio: Auxílio à Pesquisa - Temático