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arXiv · 1308.2203

Weierstrass points on Kummer extensions

Miriam Abdon·Herivelto Borges·Luciane Quoos
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Abstract

For Kummer extensions $y^m=f(x)$, we discuss conditions for an integer be a Weierstrass gap at a place $P$. In the case of totally ramified places, the conditions will be necessary and sufficient. As a consequence, we extend independent results of several authors.

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Miriam Abdon, Herivelto Borges, Luciane Quoos. 2013-08-09. Weierstrass points on Kummer extensions. https://arxiv.org/abs/1308.2203

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