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Weierstrass semigroups on double covers of genus 4 curves. (English) Zbl 1395.14028
Summary: 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.

MSC:
 14H55 Riemann surfaces; Weierstrass points; gap sequences 14H30 Coverings of curves, fundamental group 14H45 Special algebraic curves and curves of low genus
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References:
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