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.
2001
http://www.springerlink.com/content/r42183g778824206/
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/1697643
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