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Pré-Publication, Document De Travail Année : 2007

Conformal Structures and Period Matrices of Polyhedral Surfaces

Résumé

We recall the theory of linear discrete Riemann surfaces and show how to use it in order to interpret a surface embedded in R^3 as a discrete Riemann surface and compute its basis of holomorphic forms on it. We present numerical examples, recovering known results to test the numerics and giving the yet unknown period matrix of the Lawson genus-2 surface.
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Dates et versions

hal-00413643 , version 1 (04-09-2009)

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Alexander Bobenko, Christian Mercat, Markus Schmies. Conformal Structures and Period Matrices of Polyhedral Surfaces. 2007. ⟨hal-00413643⟩
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