Weierstrass points and their impact in the study of algebraic curves: a historical account from the ``Lückensatz to the 1970s

DOI10.1007/s11565-008-0037-1zbMath1179.14001OpenAlexW2053228765MaRDI QIDQ1042567

Andrea Del Centina

Publication date: 14 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-008-0037-1

zbMATH Keywords

Riemann surfacesalgebraic curvesWeierstrass pointimpact in the study of algebraic curvesorigin and development of the concept

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of algebraic geometry (14-03) Riemann surfaces; Weierstrass points; gap sequences (14H55) History of mathematics in the 19th century (01A55)

Related Items (18)

Syzygies of \textit{GS} monomial curves and Weierstrass property ⋮ The proportion of Weierstrass semigroups ⋮ Bases of subalgebras of \(\mathbb{K}[\![ x \!]\) and \(\mathbb{K}[x]\)] ⋮ Counting Numerical Semigroups ⋮ On reducible non-Weierstrass semigroups ⋮ Smoothability and order bound for AS semigroups. ⋮ Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables ⋮ Generalized Weierstrass semigroups and their Poincaré series ⋮ On Weierstrass semigroups at one and two points and their corresponding Poincaré series ⋮ Deformations and smoothability of certain AS monomial curves ⋮ Gap sequences of 1-Weierstrass points on non-hyperelliptic curves of genus 10 ⋮ On the weight of numerical semigroups ⋮ Higher-order Weierstrass weights of branch points on superelliptic curves ⋮ A proof of the Weierstraß gap theorem not using the Riemann-Roch formula ⋮ Weierstrass points on Kummer extensions ⋮ On Weierstrass nodes ⋮ Limit of Weierstrass measure on stable curves ⋮ Poncelet's porism: a long story of renewed discoveries. II

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