On the Hilbert scheme of Palatini threefolds

Details On the Hilbert scheme of Palatini threefolds On the Hilbert scheme of Palatini threefolds

2002-04-22

arxiv.org/abs/math/0204259v1

Mathematics

Algebraic Geometry

To be published in Advances in Geometry

Scientific paper

We study the Hilbert scheme of Palatini threefolds X in P^5. 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.

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