Pointed curves on \(K3\) surfaces which are double covers of rational elliptic surfaces

DOI10.21099/tkbjm/20234701065zbMath1530.14059MaRDI QIDQ6144548

Makiko Mase, Jiryo Komeda

Publication date: 5 January 2024

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/tsukuba-journal-of-mathematics/volume-47/issue-1/POINTED-CURVES-ON-K3-SURFACES-WHICH-ARE-DOUBLE-COVERS-OF/10.21099/tkbjm/20234701065.full

zbMATH Keywords

\(K3\) surfacenumerical semigroupdouble cover of a curveWeierstrass semigroup of a pointrational elliptic surface

Mathematics Subject Classification ID

Commutative semigroups (20M14) Plane and space curves (14H50) Coverings of curves, fundamental group (14H30) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (1)

Non-\(\mathrm{K}3\) Weierstrass numerical semigroups

Cites Work

• On Weierstrass points of nonhyperelliptic compact Riemann surfaces of genus three
• Linear systems on rational elliptic surfaces and elliptic fibrations on \(K3\) surfaces
• An example of the Weierstrass semigroup of a pointed curve on \(K3\) surfaces
• Curves on weighted \(K3\) surfaces of degree two with symmetric Weierstrass semigroups
• Numerical semigroups of genus eight and double coverings of curves of genus three
• On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type
• Elliptic Surfaces
• Every Curve of Genus not Greater Than Eight Lies on a K3 Surface
• Special Linear Systems on Curves Lying on a K 3 Surface
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