The algorithm to calculate the period matrix of the curve \(x^m+y^n=1\) (Q1860627)
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scientific article; zbMATH DE number 1874190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The algorithm to calculate the period matrix of the curve \(x^m+y^n=1\) |
scientific article; zbMATH DE number 1874190 |
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The algorithm to calculate the period matrix of the curve \(x^m+y^n=1\) (English)
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30 July 2003
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The author gives an explicit algorithm to compute a canonical homology basis and a basis of holomorphic \(1\)-forms of the Riemann surface \(x^{m}+y^{n}=1\). This permits the explicit computation of a period matrix of such a surface. The method used is an extension of the one used for the case of real hyperelliptic Riemann surfaces.
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Riemann surface
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Torelli
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period matrix
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