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In this paper, we study plane curves of degree $6$ with points whose multiplicities of the tangents are $5$. We determine all the Weierstrass semigroups of ramification points on double covers of the plane curves when the genera of the covering curves are greater than $29$ and the ramification points are on the points with multiplicity $5$ of the tangent.
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참고문헌 (4)
참고문헌 신청
Takeshi Harui / 2014 / Numerical semigroups of genus eight and double coverings of curves of genus three / Semigroup Forum 89(3):571~581
Seon Jeong Kim / 2014 / Weierstrass semigroups on double covers of genus 4 curves / Journal of Algebra 405:142~167
S. J. Kim / 2015 / Weierstrass semigroups on double covers of plane curves of degree 5 / Kodai Math. J 38(2):270~288
김선정 / 2018 / Weierstrass semigroups on double covers of plane curves of degree six with total flexes / 대한수학회보 55(2):611~624
Seon Jeong Kim / 2014 / Weierstrass semigroups on double covers of genus 4 curves / Journal of Algebra 405:142~167
S. J. Kim / 2015 / Weierstrass semigroups on double covers of plane curves of degree 5 / Kodai Math. J 38(2):270~288
김선정 / 2018 / Weierstrass semigroups on double covers of plane curves of degree six with total flexes / 대한수학회보 55(2):611~624
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