Non-obstructed subcanonical space curves.

Rosa M. Miró-Roig

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2B, page 761-772
  • ISSN: 0214-1493

Abstract

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Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme Hilbp(t)n 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.

How to cite

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Miró-Roig, Rosa M.. "Non-obstructed subcanonical space curves.." Publicacions Matemàtiques 36.2B (1992): 761-772. <http://eudml.org/doc/41751>.

@article{Miró1992,
abstract = {Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme Hilbp(t)n 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.},
author = {Miró-Roig, Rosa M.},
journal = {Publicacions Matemàtiques},
keywords = {Hilbert polynomial; Hilbert scheme; non-obstructedness of subcanonical 2- Buchsbaum space curves; Hartshorne-Rao module},
language = {eng},
number = {2B},
pages = {761-772},
title = {Non-obstructed subcanonical space curves.},
url = {http://eudml.org/doc/41751},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Miró-Roig, Rosa M.
TI - Non-obstructed subcanonical space curves.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 761
EP - 772
AB - Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme Hilbp(t)n 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.
LA - eng
KW - Hilbert polynomial; Hilbert scheme; non-obstructedness of subcanonical 2- Buchsbaum space curves; Hartshorne-Rao module
UR - http://eudml.org/doc/41751
ER -

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