Discrete Riemann surfaces: linear discretization and its convergence (Q334486)
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scientific article; zbMATH DE number 6646164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete Riemann surfaces: linear discretization and its convergence |
scientific article; zbMATH DE number 6646164 |
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Discrete Riemann surfaces: linear discretization and its convergence (English)
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1 November 2016
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The authors develop a linear discretization in complex analysis. In particular they show the convergence of discrete period matrices and discrete abelian integrals to their continuous counterparts. Further they formulate and prove the discrete counterpart of the Riemann-Roch theorem. The proofs use energy estimates inspired by electrical networks.
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discrete complex analysis
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discrete Riemann-Roch theorem
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