Hilbertschemata von Kurven im \(P^ 3\) mit hohem Grad und niedrigem Geschlecht sind einfach-zusammenhaengend

DOI10.1007/BF01196871zbMath0524.14004OpenAlexW2008656993MaRDI QIDQ585294

Gerd Gotzmann

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196871

zbMATH Keywords

connectivity of Hilbert scheme of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Coverings in algebraic geometry (14E20) Topological properties in algebraic geometry (14F45)

Related Items

Einfacher Zusammenhang der Hilbertschemata von Kurven im komplex-projektiven Raum. (Simple connectedness of the Hilbert schemes of curves in complex projective space)

Cites Work

• Einige einfach-zusammenhaengende Hilbertschemata
• Sheaves on projective space invariant under the unitriangular group
• Lectures on Curves on an Algebraic Surface. (AM-59)