An example of the Weierstrass semigroup of a pointed curve on \(K3\) surfaces

DOI10.1007/s00233-012-9464-5zbMath1285.14036OpenAlexW1978175660MaRDI QIDQ1955757

Kenta Watanabe

Publication date: 18 June 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-012-9464-5

zbMATH Keywords

curves on \(K3\) surfacesdouble coverings of curvesWeierstrass semigroups of pointed curves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Coverings of curves, fundamental group (14H30) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (4)

On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type ⋮ Pointed curves on \(K3\) surfaces which are double covers of rational elliptic surfaces ⋮ New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one ⋮ A double covering of curves on a Hirzebruch surface of degree one and Weierstrass semigroups

Cites Work

• The Weierstrass semigroups on the quotient curve of a plane curve of degree \(\leqslant 7\) by an involution
• Weierstrass gap sequences on curves on toric surfaces
• Numerical semigroups.
• Weierstrass points and double coverings of curves. With application: Symmetric numerical semigroups which cannot be realized as Weierstrass semigroups
• On Weierstrass semigroups of double coverings of genus three curves
• Projective Models of K - 3 Surfaces
• A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS ON A SMOOTH PLANE CURVE

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