Weierstrass semigroups and the canonical ideal of non-trigonal curves

DOI10.1007/BF02568416zbMath0742.14029MaRDI QIDQ1814201

Gilvan Oliveira

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155625

zbMATH Keywords

minimal set of generators of the canonical idealnon-hyperelliptic complete irreducible algebraic curvesnon-trigonalityWeierstraß gap sequences

Mathematics Subject Classification ID

Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (22)

Weierstrass points and double coverings of curves. With application: Symmetric numerical semigroups which cannot be realized as Weierstrass semigroups ⋮ Higher order differentials and Weierstrass points on Gorenstein curves ⋮ On pure \(\kappa\)-sparse gapsets ⋮ A stratification of the moduli space of pointed non-singular curves ⋮ On the constellations of Weierstrass points ⋮ On certain n-sheeted coverings of curves and numerical semigroups which cannot be realized as weierstrass semigroups ⋮ The locus of curves with an odd subcanonical point ⋮ Deformations and smoothability of certain AS monomial curves ⋮ On numerical semigroups related to covering of curves ⋮ On numerical semigroups and the order bound. ⋮ Gaps in semigroups ⋮ On κ-sparse numerical semigroups ⋮ Weierstrass gap sequences and moduli varieties of trigonal curves ⋮ On Weierstrass semigroups of double covering of genus two curves ⋮ Existence of the primitive Weierstrass gap sequences on curves of genus 9 ⋮ On the weight of numerical semigroups ⋮ Unnamed Item ⋮ Defining equations of curves of genus five possessing two Weierstrass points of maximal weight with a common ⋮ The Buchweitz set of a numerical semigroup ⋮ On canonical curves and osculating spaces. ⋮ On the structure of numerical sparse semigroups and applications to Weierstrass points. ⋮ Weierstrass weight of Gorenstein singularities with one or two branches

Cites Work

• Unnamed Item
• Unnamed Item
• On the existence of Weierstrass gap sequences on trigonal curves
• Weierstrass points on certain non-classical curves
• Existence, decomposition, and limits of certain Weierstrass points
• The canonical constellations of k-Weierstrass points
• A variant of Petri's analysis of the canonical ideal of an algebraic curve
• Weierstrass gap sequences and moduli varieties of trigonal curves
• On Petri's analysis of the linear system of quadrics through a canonical curve
• Non-hyperelliptic Weierstrass points of maximal weight
• The Weierstrass gap sequence of the ordinary ramification points of trigonal coverings of \({\mathbb{P}}^ 1\); existence of a kind of Weierstrass gap sequence
• Weierstrass Points and Curves Over Finite Fields
• Weierstrass points on trigonal curves of genus five
• On Weierstraß points whose first non-gaps are three.

This page was built for publication: Weierstrass semigroups and the canonical ideal of non-trigonal curves