The proportion of Weierstrass semigroups

DOI10.1016/j.jalgebra.2012.09.041zbMath1271.14042arXiv1202.6331OpenAlexW2035615146MaRDI QIDQ2377441

Lynnelle Ye, Nathan Kaplan

Publication date: 2 July 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6331

zbMATH Keywords

numerical semigroupWeierstrass semigroup

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Commutative semigroups (20M14) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (12)

Distribution of genus among numerical semigroups with fixed Frobenius number ⋮ Counting Numerical Semigroups ⋮ On reducible non-Weierstrass semigroups ⋮ A graph-theoretic approach to Wilf's conjecture ⋮ Sub-Fibonacci behavior in numerical semigroup enumeration ⋮ Dimension counts for cuspidal rational curves via semigroups ⋮ Degree asymptotics of the numerical semigroup tree. ⋮ Unnamed Item ⋮ On nonprimitive Weierstrass points ⋮ Weierstrass sets on finite graphs ⋮ The Buchweitz set of a numerical semigroup ⋮ On Laplacian Monopoles

Cites Work

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• Fibonacci-like growth of numerical semigroups of a given genus.
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• SYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS
• On certain n-sheeted coverings of curves and numerical semigroups which cannot be realized as weierstrass semigroups

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