Displaying similar documents to “Linear systems with multiple base points in 2 .”

The Hilbert Scheme of Buchsbaum space curves

Jan O. Kleppe (2012)

Annales de l’institut Fourier

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We consider the Hilbert scheme H ( d , g ) of space curves C with homogeneous ideal I ( C ) : = H * 0 ( C ) and Rao module M : = H * 1 ( C ) . By taking suitable generizations (deformations to a more general curve) C of C , we simplify the minimal free resolution of I ( C ) by e.g making consecutive free summands (ghost-terms) disappear in a free resolution of I ( C ) . Using this for Buchsbaum curves of diameter one ( M v 0 for only one v ), we establish a one-to-one correspondence between the set 𝒮 of irreducible components of H ( d , g ) that contain ( C ) and a...