Curves in the double plane

DOI10.1080/00927870008827180zbMath0976.14020arXivmath/9906209OpenAlexW2081207178MaRDI QIDQ2707883

Enrico Schlesinger, Robin Hartshorne

Publication date: 27 December 2001

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

Full work available at URL: https://arxiv.org/abs/math/9906209

zbMATH Keywords

curves in multiple planesHilbert scheme of projective curves

Mathematics Subject Classification ID

Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (13)

Curves with degenerate general hypersurface sections. ⋮ Normal form for space curves in a double plane ⋮ Double lines on quadric hypersurfaces ⋮ Families of space curves with large cohomology ⋮ The Hilbert schemes of locally Cohen-Macaulay curves in \(\mathbb{P}^3\) may after all be connected ⋮ On the connectedness of the hilbert scheme of curves in P³ ⋮ Footnote to a paper by hartshorne ⋮ Codimension one distributions of degree 2 on the three-dimensional projective space ⋮ Smooth curves specialize to extremal curves ⋮ Liaison and Cohen-Macaulayness conditions ⋮ Characterizations of spaces curves containing a planar subcurve ⋮ On triple Veronese embeddings of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {P}^n$\end{document} in the Grassmannians ⋮ Surfaces in \({\mathbb P}^4\) with extremal general hyperplane section.

Cites Work

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• Description de Hilb sup(n) C{X,Y}
• Generalized divisors on Gorenstein schemes
• Subextremal curves
• A remark on connectedness in hilbert schemes
• A speciality theorem for Cohen-Macaulay space curves

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