Weierstrass gap sequences at the ramification points of trigonal Riemann surfaces

DOI10.1016/0022-4049(88)90105-3zbMath0649.14009OpenAlexW2024054077MaRDI QIDQ1105650

Takao Kato, Ryutaro Horiuchi

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90105-3

zbMATH Keywords

Weierstrass gap sequenceramification pointstrigonal Riemann surface of n-th kind

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Coverings of curves, fundamental group (14H30) Singularities of curves, local rings (14H20) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (10)

Trigonal curves and algebro-geometric solutions to soliton hierarchies II ⋮ On \(\gamma \)-hyperelliptic Weierstrass semigroups of genus \(6\gamma +1\) and \(6\gamma \) ⋮ The gonality and the Clifford index of curves on a toric surface ⋮ Weierstrass points on trigonal curves. I: The ramification points ⋮ Subspaces of trigonal Riemann surfaces ⋮ Weierstrass gap sequences and moduli varieties of trigonal curves ⋮ Existence of the primitive Weierstrass gap sequences on curves of genus 9 ⋮ Groups of automorphisms of cyclic trigonal Riemann surfaces ⋮ A classification of trigonal Riemann surfaces ⋮ On Riemann surfaces with non-unique cyclic trigonal morphism

Cites Work

• The Weierstrass gap sequence of the ordinary ramification points of trigonal coverings of \({\mathbb{P}}^ 1\); existence of a kind of Weierstrass gap sequence
• On Weierstraß points whose first non-gaps are three.
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