Weierstrass points and monomial curves

DOI10.1016/0021-8693(77)90322-2zbMath0412.14002OpenAlexW2094370517MaRDI QIDQ1260129

Marie A. Vitulli, Dock Sang Rim

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90322-2

zbMATH Keywords

gapsmonomial curvenegatively graded semigroupsone parameter family of rational curvesWeierstraß gaps

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Deformations of singularities (14B07)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Generators and relations of abelian semigroups and semigroup rings
• Séminaire de géométrie algébrique du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 II) par P. Deligne et N. Katz. Exposés X à XXII
• Deformationen von Singularitäten komplexer Räume
• Weierstrass points, branch points, and moduli of riemann surfaces
• Pathologies IV
• A Generalized Koszul Complex. II. Depth and Multiplicity
• The Cotangent Complex of a Morphism
• A Generalized Koszul Complex. III. A Remark on Generic Acyclicity
• Functors of Artin Rings
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• Formal deformation theory
• Torsion Differentials and Deformation
• Correspondence
• Normal surface singularities with \(\mathbb{C}^*\) action