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Riemann surfaces out of paper
- Source :
- Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
- Publication Year :
- 2014
-
Abstract
- 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.<br />36 pages, 11 figures
- Subjects :
- Plane (geometry)
Mathematics - Complex Variables
General Mathematics
Riemann surface
Mathematical analysis
Structure (category theory)
Boundary (topology)
Surface (topology)
30C35, 30C62, 30F10, 30F45, 37F30, 37E30
Modulus of continuity
symbols.namesake
Polygon
FOS: Mathematics
symbols
SISTEMAS DINÂMICOS
Complex Variables (math.CV)
Quotient
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
- Accession number :
- edsair.doi.dedup.....fbca6a6ada7d43ad40df6ba9cd7a85af