A description of the Weierstrass gap sequence by means of the Riemann theta function (Q1076094)
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scientific article; zbMATH DE number 3952936
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A description of the Weierstrass gap sequence by means of the Riemann theta function |
scientific article; zbMATH DE number 3952936 |
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A description of the Weierstrass gap sequence by means of the Riemann theta function (English)
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1986
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The author investigates Weierstrass points on a closed Riemann surface by extending the study of \textit{J. Lewittes} [Acta Math. 111, 37-61 (1964; Zbl 0125.318)] of the role of the choice of base point for the canonical imbedding of the surface into its Jacobian variety. Characterizations of the variety of Weierstrass points with given gap sequences are obtained in terms of conditions on the thetafunction of the Jacobian variety.
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Weierstrass points on a closed Riemann surface
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gap sequences
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thetafunction of the Jacobian variety
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