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Let C be a real nonsingular affine curve of genus one, embedded in affine n-space, whose set of real points is compact.
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W. Helton, J. Nie: Sufficient and necessary conditions for semidefinite representability of convex hulls and sets. SIAM J. Optim. 20
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W. Helton, J. Nie: Semidefinite representation of convex sets. Math. Program. 122
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