A remark on the Brill-Noether theory of curves of fixed gonality

DOI10.1007/s00013-024-02059-wMaRDI QIDQ6664068

Gerriet Martens

Publication date: 16 January 2025

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

gonalityBrill-Noether theoryHurwitz spacessplitting loci

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Cites Work

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• 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 varieties of special divisors.
• Linear series on a general \(k\)-gonal curve
• A refined Brill-Noether theory over Hurwitz spaces
• Tropical methods in Hurwitz-Brill-Noether theory
• Components of Brill-Noether loci for curves with fixed gonality

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