Weierstrass weight of the hyperosculating points of generalized Fermat curves |
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Authors: | Rubén A. Hidalgo Maximiliano Leyton-Álvarez |
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Affiliation: | 1. Departamento de Matemática y Estadística, Universidad de la Frontera, Temuco, Chile;2. Instituto de Matemática y Física, Universidad de Talca, Talca, Chile |
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Abstract: | Let be a generalized Fermat pair of the type . If is the set of fixed points of the non-trivial elements of the group H, then F is exactly the set of hyperosculating points of the standard embedding . We provide an optimal lower bound (this being sharp in a dense open set of the moduli space of the generalized Fermat curves) for the Weierstrass weight of these points. |
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Keywords: | 14H55 14H15 14H30 30F10 30F35 |
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