paper

On the Hilbert scheme of Palatini threefolds

arXiv:math/0204259

Abstract

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.

To be published in Advances in Geometry

On the Hilbert scheme of Palatini threefolds · wovepaper