On the Hilbert scheme of curves of maximal genus in a projective space

DOI10.1007/BF01162242zbMath0595.14004OpenAlexW1986774811MaRDI QIDQ1077476

Ciro Ciliberto

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173840

zbMATH Keywords

arithmetic genusHilbert scheme at points corresponding to smooth Castelnuovo curvesZariski tangent space

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Special algebraic curves and curves of low genus (14H45) Projective techniques in algebraic geometry (14N05)

Related Items

Smoothness of Hilbert scheme in low degree. (Lissité du schéma de Hilbert en bas degré). ⋮ Linear series with \(\rho<0\) via thrifty Lego building ⋮ Projective curves: multisecant schemes and lifting problems ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^4\) of degree \(d = g+1\) and genus \(g\) ⋮ Weierstrass semigroups on Castelnuovo curves ⋮ On the branch curve of a general projection of a surface to a plane ⋮ Generalized Castelnuovo varieties

Cites Work

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• Families of meromorphic functions on compact Riemann surfaces
• Su una congettura di Petri
• Deformations of cones with negative grading
• On Castelnuovo's Inequality for Algebraic Curves. I