Weierstrass semigroups on double covers of genus four curve
Algebraic Geometry
2013-10-08 v1
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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Cite
@article{arxiv.1310.1543,
title = {Weierstrass semigroups on double covers of genus four curve},
author = {S. J. Kim and J. Komeda},
journal= {arXiv preprint arXiv:1310.1543},
year = {2013}
}
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25 pages