Non-hyperelliptic Weierstrass points of maximal weight

DOI10.1007/BF01420372zbMath0401.30037MaRDI QIDQ1255120

Takao Kato

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163212

zbMATH Keywords

Compact Riemann SurfacesWeierstrass Points

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Differentials on Riemann surfaces (30F30)

Related Items (16)

Weierstrass points and double coverings of curves. With application: Symmetric numerical semigroups which cannot be realized as Weierstrass semigroups ⋮ Weights of Weierstrass points in double coverings of curves of genus one or two ⋮ Linear diophantine equations with cyclic coefficient matrices and its applications to Riemann surfaces ⋮ On certain remarkable curves of genus five. ⋮ Singular rational curves with points of nearly-maximal weight ⋮ The canonical constellations of k-Weierstrass points ⋮ On the constellations of Weierstrass points ⋮ A note on Weierstrass points of bielliptic curves ⋮ On Realizations of Some Plane Algebroid Curves ⋮ Bi-elliptic Weierstrass points on curves of genus 5 ⋮ On numerical semigroups related to covering of curves ⋮ On curves with all Weierstrass points of maximal weight ⋮ On the weight of numerical semigroups ⋮ On Weierstrass semigroups of double coverings of hyperelliptic curves ⋮ Weierstrass semigroups and the canonical ideal of non-trigonal curves ⋮ Weierstrass points and their impact in the study of algebraic curves: a historical account from the ``Lückensatz to the 1970s

Cites Work

• Riemann surfaces, theta functions, and Abelian automorphisms groups
• Einige Bemerkungen zum Weierstraßschen Lückensatz
• On the order of a zero of the theta function
• Some Remarks on Weierstrass Points
• Strongly Branched Coverings of Closed Riemann Surfaces
• Unnamed Item

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