Nilpotent lci structures on global complete intersections.
Non-classical Gorenstein curves of arithmetic genuas three and four.
Non-obstructed subcanonical space curves.
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.
Non-obstructedness of Gorenstein Subschemes of Codimension 3 in P...
Numerical invariants of liasion classes.