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A Criterion for M-Curves
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We prove that a geometrically irreducible smooth projective curve X of genus g>1 defined over ℝ is an M-variety if and only if Pic0(X) is an M-variety. A geometrically irreducible smooth projective curve X defined over ℝ is an M-variety if and only if Pic1(X) is an M-variety; note that there is no condition on the genus.
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