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arxiv: 1308.2203 · v3 · pith:JV6M67CUnew · submitted 2013-08-09 · 🧮 math.AG

Weierstrass points on Kummer extensions

classification 🧮 math.AG
keywords conditionsextensionskummerweierstrassauthorscaseconsequencediscuss
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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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