Curves of genus 𝑔 whose canonical model lies on a surface of degree 𝑔+1

DOI10.1090/S0002-9939-2012-11335-8zbMath1260.14067MaRDI QIDQ4908258

Gianfranco Casnati

Publication date: 5 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

curvecanonically embedded curvelow degree surfacetetragonality

Mathematics Subject Classification ID

Varieties of low degree (14N25) Coverings of curves, fundamental group (14H30) Projective techniques in algebraic geometry (14N05) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Cites Work

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• Canonical curves with low apolarity
• Syzygies of canonical curves and special linear series
• On Petri's analysis of the linear system of quadrics through a canonical curve
• Introduction to liaison theory and deficiency modules
• Revêtements ramifiés de la droite projective complexe. (Ramified coverings of the complex projective line)
• The gonality of singular plane curves
• The gonality of smooth curves with plane models
• A simplified proof for the resolution of singularities of an algebraic surface
• A standard basis approach to syzygies of canonical curves.
• Surfaces of low degree containing a general canonical curve
• Tetragonal curves, scrolls and 𝐾3 surfaces
• Canonical curves on surfaces of very low degree
• ON THE GEOMETRY OF BIHYPERELLIPTIC CURVES

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