The separating gonality of a separating real curve

DOI10.1007/s00605-012-0413-xzbMath1276.14039arXiv1109.2337OpenAlexW1997990791MaRDI QIDQ1945802

Marc Coppens

Publication date: 9 April 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2337

zbMATH Keywords

linear systemrational functiongonalityreal curves

Mathematics Subject Classification ID

Special divisors on curves (gonality, Brill-Noether theory) (14H51) Real algebraic and real-analytic geometry (14P99) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (5)

Real-fibered morphisms of del Pezzo surfaces and conic bundles ⋮ Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves ⋮ Pencils on separating \((M-2)\)-curves ⋮ Real fibered morphisms and Ulrich sheaves ⋮ The separating semigroup of a real curve

Cites Work

• On the conformal order representation of Riemannian surfaces and a characterization of separating families of 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)
• The irreducibility of the space of curves of a given genus
• Open Riemann surfaces and extremal problems on compact subregions
• Pencils on real curves
• On the geometry of algebraic curves having many real components
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