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arxiv: math/0609844 · v1 · submitted 2006-09-29 · 🧮 math.AG · math.CV· math.NT

Real Belyi theory

classification 🧮 math.AG math.CVmath.NT
keywords surfacesbelyikleintheoryappliesboundarycarrydevelop
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We develop a Belyi type theory that applies to Klein surfaces, i.e. (possibly non-orientable) surfaces with boundary which carry a dianalytic structure. In particular we extend Belyi's famous theorem from Riemann surfaces to Klein surfaces.

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