Weierstrass points on Kummer extensions

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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Bibliographic Details
Published in:arXiv.org 2015-11
Main Authors: Abdon, Miriam, Borges, Herivelto, Quoos, Luciane
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422