14 citations · 61 across the 20 of their papers we have counts for
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math.AG2012★ 3 cited
Comparison theorems for deformation functors via invariant theory
Jan Arthur Christophersen, Jan O. Kleppe
We compare deformations of algebras to deformations of schemes in the setting of invariant theory. Our results generalize comparison theorems of Schlessinger and the second author…
math.AG2012
Components of the Hilbert scheme of space curves on low-degree smooth surfaces
Jan O. Kleppe, John C. Ottem
We study maximal families W of the Hilbert scheme, H(d,g)_{sc}, of smooth connected space curves whose general curve C lies on a smooth surface S of degree s. We give conditions on…