Non-obstructed subcanonical space curves

Abstract

Recall that a closed subscheme X C P is non-obstructed if the corresponding point x of the Hilbert scheme Hilb'm 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 nonobstructed . As a main tool, we use Serre's correspondence between subcanonical curves and vector bundle