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Non-special divisors on real algebraic curves and embeddings into real projective spaces - MaRDI portal

Non-special divisors on real algebraic curves and embeddings into real projective spaces (Q2568753)

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Non-special divisors on real algebraic curves and embeddings into real projective spaces
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    Non-special divisors on real algebraic curves and embeddings into real projective spaces (English)
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    19 October 2005
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    It is proved that on a given real algebraic curve \(X\) there is a large class of non-special divisors of relatively small degree, and if \(X\) has many real components, such a divisor determines an embedding of \(X\) into the real projective space \(\mathbb{P}^r\) for \(r\geq 3\) (and a birational embedding for \(r=2\)). These embeddings are then studied in detail.
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    real algebraic curve
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    \(M\)-curve
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    plane curve
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    double point
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    multiple point
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    inflection point
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    space curve
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    ramification
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