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A remark on the moduli field of a curve

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Abstract.

We give a purely algebro-geometric proof of the fact that every nonsingular projective curve can be defined over a finite extension of its moduli field. This extends a result byWolfart [7] to curves over fields of arbitrary characteristic.

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Authors and Affiliations

  1. Mathematisches Institut II, Englerstr. 2, 76128, Karlsruhe, Germany

    H. Hammer & F. Herrlich

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  1. H. Hammer
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  2. F. Herrlich
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Received: 30 November 2001

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Hammer, H., Herrlich, F. A remark on the moduli field of a curve. Arch. Math. 81, 5–10 (2003). https://doi.org/10.1007/s00013-003-4649-5

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  • DOI: https://doi.org/10.1007/s00013-003-4649-5

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