On the existence of components of the hilbert scheme with the expected number of moduli. II

DOI10.1080/00927879908826640zbMath0970.14003OpenAlexW2094633975MaRDI QIDQ4253141

Angelo Felice Lopez

Publication date: 13 October 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826640

zbMATH Keywords

Hilbert schememoduli space of curvesBrill-Noether numberexpected number of modulismoothing reducible curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (5)

Regular components of moduli spaces of stable maps ⋮ Linear series with \(\rho<0\) via thrifty Lego building ⋮ Severi varieties and Brill-Noether theory of curves on abelian surfaces ⋮ Families of nodal curves in \(\mathbb {P}^r\) with the expected number of moduli ⋮ Irreducibility and components rigid in moduli of the Hilbert scheme of smooth curves

Cites Work

• On the existence of certain families of curves
• On the existence of components of the Hilbert scheme with the expected number of moduli
• A generalized principal ideal theorem with an application to Brill-Noether 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)
• Components of the Hilbert scheme of smooth space curves with the expected number of moduli
• Su una congettura di Petri
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• Concerning the existence of nice components in the Hilbert scheme of curves in n for n = 4 and 5.

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