Singular rational curves with points of nearly-maximal weight |
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| Authors: | Ethan Cotterill Lia Feital Renato Vidal Martins |
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| Institution: | 1. Instituto de Matemática, UFF Rua Mário Santos Braga, S/N, 24020-140 Niterói RJ, Brazil;2. Departamento de Matemática, CCE, UFV Av. P H Rolfs s/n, 36570-000 Viçosa MG, Brazil;3. Departamento de Matemática, ICEx, UFMG Av. Antônio Carlos 6627, 30123-970 Belo Horizonte MG, Brazil |
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| Abstract: | In this article we study rational curves with a unique unibranch genus-g singularity, which is of κ-hyperelliptic type in the sense of 27]; we focus on the cases and , in which the semigroup associated to the singularity is of (sub)maximal weight. We obtain a partial classification of these curves according to the linear series they support, the scrolls on which they lie, and their gonality. |
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| Keywords: | Primary 14H20 14H45 14H51 20Mxx |
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