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 / Fania, M. L.; Mezzetti, Emilia. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - STAMPA. - 2, n.4:(2002), pp. 371-389. [10.1515/advg.2002.017]
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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