We study the degeneracy loci of general bundle morphisms defined by m sections of the cotangent bundle twisted by 2. We consider in particular the case of P^5 with m=2,3. We give an explicit description of the Hilbert scheme of elliptic normal scrolls in P^5, by defining a natural rational map from the Grassmannian G (2, 14) , which results to be dominant with general fibre of degree four.
On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in P^5
MEZZETTI, EMILIA
2001-01-01
Abstract
We study the degeneracy loci of general bundle morphisms defined by m sections of the cotangent bundle twisted by 2. We consider in particular the case of P^5 with m=2,3. We give an explicit description of the Hilbert scheme of elliptic normal scrolls in P^5, by defining a natural rational map from the Grassmannian G (2, 14) , which results to be dominant with general fibre of degree four.File in questo prodotto:
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