How to Email a Riemann Surface
نویسنده
چکیده
The goal of this paper is to make mathematically precise, then illustrate, how to “email” a Riemann surface. We assume each of our Riemann surfaces are orientable and connected. We will follow the notation from [2] and will cite theorems from this source whenever possible. To email a Riemann surface we want a unique Riemann surface to correspond to a set L of finitely many matrices whose entries are polynomials in Q [X]. We say L encodes a Riemann surface. We consider three different models of a Riemann surface and attempt to address three problems which arise when emailing.
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