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arXiv · 1809.05428

Weierstrass weight of the hyperosculating points of generalized Fermat curves

Rubén A. Hidalgo·Maximiliano Leyton-Álvarez
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Abstract

Let $(S,H)$ be a generalized Fermat pair of the type $(k,n)$. If $F\subset S$ 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 $S\hookrightarrow {\mathbb{P}}^{n}$. 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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Rubén A. Hidalgo, Maximiliano Leyton-Álvarez. 2018-09-14. Weierstrass weight of the hyperosculating points of generalized Fermat curves. https://arxiv.org/abs/1809.05428

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