Curves of maximum genus in range A and stick-figures

Ballico, Edoardo; Bolondi, Giorgio; Ellia, Philippe; Mirò-Roig, Rosa

doi:10.1090/S0002-9947-97-01917-X

Curves of maximum genus in range A and stick-figures
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by Edoardo Ballico, Giorgio Bolondi, Philippe Ellia and Rosa Maria Mirò-Roig

Trans. Amer. Math. Soc. 349 (1997), 4589-4608

DOI: https://doi.org/10.1090/S0002-9947-97-01917-X

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Abstract:

In this paper we show the existence of smooth connected space curves not contained in a surface of degree less than $m$, with genus maximal with respect to the degree, in half of the so-called range A. The main tool is a technique of deformation of stick-figures due to G. Fløystad.

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Curves of maximum genus in range A and stick-figures
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Abstract: