On the Hilbert Scheme of Curves in a Smooth Quadric

Edoardo Ballico
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Edoardo Ballico: Scuola Normale Superiore, Classe di Scienze

A chapter in Deformations of Mathematical Structures, 1989, pp 127-132 from Springer

Abstract: Abstract Let X be a projective homogeneous manifold over ℂ, say X = G/P, with G being a connected linear algebraic group and P a parabolic subgroup of it. As in the case X = ℙn, it seems interesting to study the Hilbert scheme Hilb(X) of X and, in particular, the part of Hilb(X) related to curves in X.

Keywords: Parabolic Subgroup; Maximal Rank; Hilbert Scheme; Hyperplane Section; Space Curf (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-94-009-2643-1_11

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