Examples of nonsingular irreducible curves which give reducible singular points of \(red(H_{d,g})\)

DOI10.2977/prims/1195178928zbMath0609.14002OpenAlexW2058965300MaRDI QIDQ1086636

Mutsumi Amasaki

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178928

zbMATH Keywords

linkageliaisonarithmetically Buchsbaum curvesubscheme of the Hilbert scheme

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Parametrization (Chow and Hilbert schemes) (14C05) Families, moduli of curves (analytic) (14H15) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Verification of the Connectedness of Space Curve Invariants for a Special Case ⋮ Application of the Generalized Weierstrass Preparation Theorem to the Study of Homogeneous Ideals ⋮ Curves in \({\mathbb{P}}^ 3\) whose ideals are simple in a certain numerical sense ⋮ The Hilbert scheme of space curves of small diameter ⋮ The Hilbert scheme of Buchsbaum space curves ⋮ Generators of graded modules associated with linear filter-regular sequences

Cites Work

• Linear free resolutions and minimal multiplicity
• Preparatory structure theorem for ideals defining space curves
• On the structure of arithmetically Buchsbaum curves in \(P^ 3_ k\)
• Liaison des variétés algébriques. I
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles