We prove the following theorem, which corrects a previous result of the authors (M. L. Fania, E. Mezzetti, On the Hilbert scheme of Palatini threefolds. Adv. Geom. 2 (2002), 371–389): Let D be a web of linear complexes in P^5 such that D is contained in the dual of G (1, 5). Then the natural rational map from G(3,P^14) to the irreducible component of the Hilbert scheme of threefolds in P^5, containing the Palatini scrolls, is not regular at the point corresponding to D, unless D is contained in the tangent space to G(3, 5) at a point.
Erratum to "On the Hilbert scheme of Palatini threefolds"
MEZZETTI, EMILIA
2008-01-01
Abstract
We prove the following theorem, which corrects a previous result of the authors (M. L. Fania, E. Mezzetti, On the Hilbert scheme of Palatini threefolds. Adv. Geom. 2 (2002), 371–389): Let D be a web of linear complexes in P^5 such that D is contained in the dual of G (1, 5). Then the natural rational map from G(3,P^14) to the irreducible component of the Hilbert scheme of threefolds in P^5, containing the Palatini scrolls, is not regular at the point corresponding to D, unless D is contained in the tangent space to G(3, 5) at a point.File in questo prodotto:
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