Components of the Hilbert scheme of space curves on low-degree smooth surfaces
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Publication:4983029
DOI10.1142/S0129167X15500172zbMath1323.14005arXiv1204.4819MaRDI QIDQ4983029
Jan O. Kleppe, John Christian Ottem
Publication date: 14 April 2015
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.4819
Plane and space curves (14H50) (K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Picard schemes, higher Jacobians (14K30) Divisors, linear systems, invertible sheaves (14C20)
Related Items (4)
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space ⋮ The Hilbert scheme of space curves sitting on a smooth surface containing a line ⋮ Obstructions to deforming space curves lying on a smooth cubic surface ⋮ Obstructions to deforming curves on a 3-fold, III: Deformations of curves lying on a K3 surface
Cites Work
- The Hilbert scheme of space curves of small diameter
- On linearly normal space curves
- D'autres composantes non réduites de Hilb\({\mathbb{P}}^ 3\). (Other non reduced components of Hilb\({\mathbb{P}}^ 3\))
- Formal moduli of algebraic structures
- Generators for the ideal of an integral curve lying on a smooth quartic surface
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- Irreducible components of the Chow scheme of space curves
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- Cox rings of \(K3\) surfaces with Picard number 2
- Obstructions to deforming space curves and non-reduced components of the Hilbert scheme
- Composantes de petite codimension du lieu de Noether-Lefschetz. (Small codimension components of the Noether-Lefschetz locus)
- Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford’s example and an application to 𝐻𝑜𝑚 schemes
- Deformation Theory
- Genre des courbes de l'espace projectif. II
- On degrees and genera of curves on smooth quartic surfaces in P3
- INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
- Projective Models of K - 3 Surfaces
- Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit
- Factorization of birational maps of rational surfaces from the viewpoint of Mori theory
- Further Pathologies in Algebraic Geometry
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