Trigonal Gorenstein curves |
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Authors: | Renata Rosa Karl-Otto Stöhr |
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Institution: | a Departamento de Matemática, P.U.C.-Rio, Rue Marquês de São Vincente 225, 22453-900 Rio de Janeiro RJ, Brazil b I.M.P.A, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro RJ, Brazil |
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Abstract: | We notice that the Maroni invariant of a trigonal Gorenstein curve of arithmetic genus g larger than four may be equal to zero, and we show that this happens if and only if the g31 admits a non-removable base point, which is necessarily a singularity of the curve. We realize and study trigonal curves on rational scrolls, which in the case, where the g31 admits a base point Q, degenerate to a cone with vertex Q. |
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Keywords: | Primary 14H20 14H45 14H51 |
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