Reconstructing pluricanonical embeddings of general \(k\)-gonal curves via odd theta-characteristics

DOI10.1007/s11587-006-0013-yzbMath1222.14062OpenAlexW1979894283MaRDI QIDQ997595

Edoardo Ballico, Claudio Fontanari

Publication date: 7 August 2007

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-006-0013-y

zbMATH Keywords

Hilbert schemeGeneral \(k\)-gonal curvePluricanonical embeddingTheta-characteristicTrigonal curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Projective techniques in algebraic geometry (14N05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limit linear series: Basic theory
• 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)
• Su una congettura di Petri
• On the Kodaira dimension of the moduli space of curves
• The irreducibility of the space of curves of a given genus
• Irreducibility and monodromy of some families of linear series
• On the Dimension of Varieties of Special Divisors
• Characterizing curves by their odd theta-characteristics
• Recovering plane curves from their bitangents

This page was built for publication: Reconstructing pluricanonical embeddings of general \(k\)-gonal curves via odd theta-characteristics