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On the Hilbert Scheme of Curves in a Smooth Quadric

In: Deformations of Mathematical Structures

Author

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  • Edoardo Ballico

    (Scuola Normale Superiore, Classe di Scienze)

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.

Suggested Citation

  • Edoardo Ballico, 1989. "On the Hilbert Scheme of Curves in a Smooth Quadric," Springer Books, in: Julian Ławrynowicz (ed.), Deformations of Mathematical Structures, pages 127-132, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2643-1_11
    DOI: 10.1007/978-94-009-2643-1_11
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