Abstract
As we will see below, the projective plane (like any other two-dimensional surface) is too narrow to accommodate every smooth curve. In the three-dimensional space there is much more freedom. However, to define curves in \({\mathbb {C}\mathbb {P}}^3\) and higher dimensional projective spaces is more difficult than in the plane. In this chapter, we discuss methods of defining such curves.
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Kazaryan, M.E., Lando, S.K., Prasolov, V.V. (2018). Curves in Projective Spaces. In: Algebraic Curves. Moscow Lectures, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-02943-2_4
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DOI: https://doi.org/10.1007/978-3-030-02943-2_4
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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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