Higher-order Weierstrass weights of branch points on superelliptic curves

DOI10.1090/conm/703/14135zbMath1401.14159arXiv1612.02730OpenAlexW2962698063MaRDI QIDQ4685919

Caleb McKinley Shor

Publication date: 9 October 2018

Published in: Higher Genus Curves in Mathematical Physics and Arithmetic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02730

zbMATH Keywords

numerical semigroupsbranch pointsWeierstrass pointssuperelliptic curveshigher-order Weierstrass points

Mathematics Subject Classification ID

[https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Riemann surfaces; Weierstrass points; gap sequences (14H55)

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Cites Work

• Weierstrass points and their impact in the study of algebraic curves: a historical account from the ``Lückensatz to the 1970s
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• The Frobenius problem, sums of powers of integers, and recurrences for the Bernoulli numbers
• Weierstrass points on cyclic covers of the projective line
• 2-Weierstrass points of genus 3 hyperelliptic curves with extra involutions
• Automorphisms of Compact Riemann Surfaces
• Weierstrass points of superelliptic curves
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