Non-special divisors on real algebraic curves and embeddings into real projective spaces |
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| Authors: | J. Huisman |
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| Affiliation: | (1) Institut de Recherche Mathématique de Rennes, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France, e-mail: huisman@univ-rennes1.fr, Home page: http://www.maths.univ-rennes1.fr/∼huisman/, FR |
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| Abstract: | We show that there is a large class of non-special divisors of relatively small degree on a given real algebraic curve. If the real algebraic curve has many real components, such a divisor gives rise to an embedding (birational embedding, resp.) of the real algebraic curve into the real projective space ℙ r for r≥3 (r=2, resp.). We study these embeddings in quite some detail. Received: October 17, 2001?Published online: February 20, 2003 |
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| Keywords: | Mathematics Subject Classification (2000). 14C20, 14H50, 14P99 . real algebraic curve – non-special divisor – M-curve – plane curve – double point – multiple point – inflection point – space curve – ramification |
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