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Resumen de Non-obstructed subcanonical space curves

Rosa María Miró-Roig Árbol académico

  • Recall that a closed subscheme X Ì 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.


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