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The period matrix of
Bring’s curve
Gonzalo Riera and Rubi Rodriguez |
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Vol. 154 (1992), No. 1, 179–200
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Abstract |
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In genus four there is only one Riemann surface admitting the symmetric group of order five as group of automorphisms: we compute its Riemann matrix. On the other hand, we show that there is a one complex parameter family of Jacobians admitting the same group of automorphisms and using the Schottky relation we give a non-trivial equation vanishing exactly on the matrix of the surface. |
Mathematical Subject Classification 2000
Primary: 14H42
Secondary: 14H10, 14K25, 30F10, 32G20
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Milestones
Received: 17 November 1990
Revised: 24 April 1991
Published: 1 May 1992
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Authors |
| Gonzalo Riera | |
| Rubi Rodriguez | |
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