Discrete Riemann Surfaces
نویسنده
چکیده
We detail the theory of Discrete Riemann Surfaces. It takes place on a cellular decomposition of a surface, together with its Poincaré dual, equipped with a discrete conformal structure. A lot of theorems of the continuous theory follow through to the discrete case, we will define the discrete analogs of period matrices, Riemann’s bilinear relations, exponential of constant argument and series. We present the notion of criticality and its relationship with integrability.
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تاریخ انتشار 2008