We study the Hilbert scheme of Palatini threefolds X in the projective space of dimension five. We prove that such a scheme has an irreducible component containing X which is birational to the Grassmannian G(3,14) and we determine the exceptional locus of the birational map.
On the Hilbert scheme of Palatini threefolds
MEZZETTI, EMILIA
2002-01-01
Abstract
We study the Hilbert scheme of Palatini threefolds X in the projective space of dimension five. We prove that such a scheme has an irreducible component containing X which is birational to the Grassmannian G(3,14) and we determine the exceptional locus of the birational map.File in questo prodotto:
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