Abstract
Algebraic curves are curves given by polynomial equations in projective spaces. On the other hand, algebraic curves are one-dimensional complex manifolds, and to define them, there is no need to embed them anywhere. We will consider various ways to define curves and discuss how one can decide whether they result in the same curve.
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Kazaryan, M.E., Lando, S.K., Prasolov, V.V. (2018). Algebraic Curves. In: Algebraic Curves. Moscow Lectures, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-02943-2_2
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DOI: https://doi.org/10.1007/978-3-030-02943-2_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02942-5
Online ISBN: 978-3-030-02943-2
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