Projectively Normal Embedding of ak-Gonal Curve

DOI10.1081/AGB-120027860zbMath1055.14035MaRDI QIDQ4454164

Seonja Kim, Young Rock Kim

Publication date: 7 March 2004

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

zbMATH Keywords

gonalityprojective normalitynormally generated line bundle

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Special algebraic curves and curves of low genus (14H45) Divisors, linear systems, invertible sheaves (14C20) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (5)

Normal generation of line bundles on algebraic curves ⋮ Projectively normal embeddings of an algebraic curve with a net ⋮ Projective normality of algebraic curves and its application to surfaces ⋮ Normal generation of line bundles on multiple coverings ⋮ Gonality and Clifford index of projective curves on ruled surfaces

Cites Work

• Unnamed Item
• On the projective normality of complete linear series on an algebraic curve
• Line bundles and syzygies of trigonal curves
• Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
• On the Clifford sequence of a general \(k\)-gonal curve
• Normal generation of line bundles of high degrees on smooth algebraic curves
• Symmetric Products and Jacobians

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