Discrete Riemann Surfaces

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dc.creatorMercat, Christian
dc.date2008-02-12
dc.date.accessioned2026-07-07T09:20:14Z
dc.date.available2026-07-07T09:20:14Z
dc.descriptionWe 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 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.
dc.identifierhttps://arxiv.org/abs/0802.1612
dc.identifierhttp://arxiv.org/abs/0802.1612
dc.identifierHandbook of Teichmüller theory. Vol. I, Eur. Math. Soc., Zürich (Ed.) (2007) 541--575
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154655
dc.subjectComplex Variables
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject37K25 (30G25)
dc.titleDiscrete Riemann Surfaces
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