On the Hilbert scheme of Palatini threefolds
classification
🧮 math.AG
keywords
schemebirationalhilbertpalatinithreefoldscomponentcontainingdetermine
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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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