Secant planes of projective curves embedded by nonspecial line bundles

DOI10.1080/00927872.2016.1237638zbMath1375.14031OpenAlexW2542963702MaRDI QIDQ4978406

Seonja Kim

Publication date: 10 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1237638

zbMATH Keywords

linear systemsyzygyalgebraic curvenonspecial line bundleGreen-Lazarfeld conjecturesecant plane

Mathematics Subject Classification ID

Syzygies, resolutions, complexes in associative algebras (16E05) Divisors, linear systems, invertible sheaves (14C20) Embeddings in algebraic geometry (14E25) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Cites Work

• On the projective normality of complete linear series on an algebraic curve
• On the Clifford index of a general \((e+2)\)-gonal curve
• 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)
• The gonality of smooth curves with plane models
• Remarks on syzygies of \(d\)-gonal curves
• Projections of Projective Curves with Higher Linear Syzygies

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