Geometric structures on toroidal maps and elliptic curves (Q2777514)
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scientific article; zbMATH DE number 1717379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric structures on toroidal maps and elliptic curves |
scientific article; zbMATH DE number 1717379 |
Statements
7 March 2002
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graph embedding
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toroidal map
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elliptic curve
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Riemann surface
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Geometric structures on toroidal maps and elliptic curves (English)
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With every map on a surface there is an associated geometric structure (spherical, Euclidean, or hyperbolic) on the surface. A surface of genus \(>1\) always carries a hyperbolic structure, but the structure on a torus can be either Euclidean or hyperbolic. The authors study the toroidal maps which have a Euclidean structure, both from the viewpoint of graph embeddings and of elliptic curves.
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