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A \emph{projective curve} over a field $k$ is an equidimensional projective
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A projective curve over a field $k$ is an equidimensional projective
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variety over $k$ of dimension 1. In other \PMlinkescapetext{words}, each of the
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variety over $k$ of dimension 1. In other words, each of the
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| irreducible components of this variety must have dimension 1. |
irreducible components of this variety must have dimension 1. |