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20052026
most citedObstructions to deforming curves on a 3-fold, I: A generalization of Mumford's example and an application to Hom schemes

7 citations · 17 across the 7 of their papers we have counts for

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math.AG2006

Obstructions to deforming curves on a 3-fold, II: Deformations of degenerate curves on a del Pezzo 3-fold

Hirokazu Nasu

We study the Hilbert scheme (Hilb V) of smooth connected curves on a smooth del Pezzo 3-fold V. We prove that every degenerate curve C, i.e. every curve contained in a smooth hyper…

math.AG2006★ 7 cited

Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford's example and an application to Hom schemes

Shigeru Mukai, Hirokazu Nasu

We give a sufficient condition for a first order infinitesimal deformation of a curve on a 3-fold to be obstructed. As application we construct generically non-reduced components o…