A note on the Hilbert scheme of curves of degree and genus .
Sabadini, I. (2001)
Rendiconti del Seminario Matematico
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Sabadini, I. (2001)
Rendiconti del Seminario Matematico
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Changho Keem (1991)
Manuscripta mathematica
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Giuseppe Pareschi (1989)
Manuscripta mathematica
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Jan O. Kleppe (1996)
Journal für die reine und angewandte Mathematik
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Scott Nollet, Enrico Schlesinger (2003)
Collectanea Mathematica
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Let F be a smooth projective surface contained in a smooth threefold T, and let X be the scheme corresponding to the divisor 2F on T. A locally Cohen-Macaulay curve C included in X gives rise to two effective divisors on F, namely the largest divisor P contained in C intersection F and the curve R residual to C intersection F in C. We show that under suitable hypotheses a general deformation of R and P lifts to a deformation of C on X, and give applications to the study of Hilbert schemes...
Gunnar Floystad (1993)
Journal für die reine und angewandte Mathematik
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Rosa M. Miró-Roig (1992)
Publicacions Matemàtiques
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Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme is non-singular. A geometric characterization of non-obstructedness is not known even for smooth space curves. The goal of this work is to prove that subcanonical k-Buchsbaum, k ≤ 2, space curves are non-obstructed. As a main tool we use Serre's correspondence between subcanonical curves and vector bundles.
Giorgio Bolondi, Jean-Claude Migliore (1993)
Annales de l'institut Fourier
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The minimal free resolution of the Hartshorne-Rao module of a curve with natural cohomology is studied, and conditions are given on the degrees and the ranks of the terms of this resolution.
Wolfgang Soergel, Lothar Göttsche (1993)
Mathematische Annalen
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David L. Ragozin (1980)
Mathematische Zeitschrift
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R. Maggioni, A. Ragusa (1988)
Inventiones mathematicae
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Giorgio Bolondi, Juan C. Migliore (1989)
Rendiconti del Seminario Matematico della Università di Padova
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