Obstructions to deforming space curves and non-reduced components of the Hilbert scheme

DOI10.2977/prims/1166642061zbMath1100.14002arXivmath/0505413OpenAlexW2092945143MaRDI QIDQ2495265

Hirokazu Nasu

Publication date: 5 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0505413

zbMATH Keywords

deformation theoryHilbert schemeobstruction theorysmooth cubic space surface

Mathematics Subject Classification ID

Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford’s example and an application to 𝐻𝑜𝑚 schemes, The Hilbert scheme of space curves of small diameter, The Hilbert scheme of space curves sitting on a smooth surface containing a line, A new nonreduced moduli component of rank-2 semistable sheaves on \({ \mathbb{P} }^3 \), 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, Obstructions to deforming curves on a 3-fold. II: Deformations of degenerate curves on a del Pezzo 3-fold, The Hilbert Scheme of Space Curves of Degreedand Genus 3d−18, Components of the Hilbert scheme of space curves on low-degree smooth surfaces

Cites Work

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