THE HILBERT SCHEME OF DEGREE TWO CURVES AND CERTAIN ROPES

DOI10.1142/S0129167X06003692zbMath1108.14005arXivmath/0311537OpenAlexW1992415725MaRDI QIDQ5487863

Maria Luisa Spreafico, Uwe Nagel, Roberto Notari

Publication date: 12 September 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311537

zbMATH Keywords

Hilbert schemecurvesminimal free resolutionnormal sheafropes

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Special algebraic curves and curves of low genus (14H45) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (5)

Double lines on quadric hypersurfaces ⋮ Curves of degree two and ropes on a line: Their ideals and even liaison classes. ⋮ Curves on Segre threefolds ⋮ Non degenerate projective curves with very degenerate hyperplane section ⋮ Even G-liaison classes of some unions of curves

Cites Work

• Unnamed Item
• Arithmetically Cohen-Macaulay curves in \(\mathbb{P}^4\) of degree 4 and genus 0
• Curves of degree two and ropes on a line: Their ideals and even liaison classes.
• A stratification of Hilbert schemes by initial ideals and applications
• Ropes in projective space
• Extensions of vector bundles on P¹
• On the connectedness of the hilbert scheme of curves in P³
• On the Hilbert Scheme Compactification of the Space of Twisted Cubics
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit
• Hilbert Schemes of Degree Four Curves

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