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arXiv · 1310.1543

Weierstrass semigroups on double covers of genus four curve

S. J. Kim·J. Komeda
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Abstract

Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramification points on double covers of C which have genus greater than 11. Moreover, we construct double covers with ramification points whose Weierstrass semigroups are the possible ones.

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S. J. Kim, J. Komeda. 2013-10-06. Weierstrass semigroups on double covers of genus four curve. https://arxiv.org/abs/1310.1543

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