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Maximal arcs in the complex projective plane and completely 2-valent functions

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In this note we construct maximal arcs in the projective plane over the complex numbers ℙ2(ℂ) that are essentially “sliced open” 2-spheres. In doing so we rely heavily on results from the theory of multivalent analytic functions.

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Polster, B. Maximal arcs in the complex projective plane and completely 2-valent functions. J Geom 54, 115–122 (1995). https://doi.org/10.1007/BF01222859

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