A double covering of curves on a Hirzebruch surface of degree one and Weierstrass semigroups

DOI10.1007/s00233-018-9970-1zbMath1409.14058OpenAlexW2891047430MaRDI QIDQ666701

Kenta Watanabe

Publication date: 11 March 2019

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

Full work available at URL: https://doi.org/10.1007/s00233-018-9970-1

zbMATH Keywords

Hirzebruch surfaceWeierstrass semigroupdouble covering of curves

Mathematics Subject Classification ID

Commutative semigroups (20M14) Coverings of curves, fundamental group (14H30) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (1)

New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one

Cites Work

• Weierstrass points and double coverings of curves. With application: Symmetric numerical semigroups which cannot be realized as Weierstrass semigroups
• An example of the Weierstrass semigroup of a pointed curve on \(K3\) surfaces
• On Weierstrass semigroups of double coverings of genus three curves
• On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type
• A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS ON A SMOOTH PLANE CURVE

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