Non-obstructed subcanonical space curves

Autores: Rosa María Miró-Roig
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 2, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 761-772
Idioma: inglés
DOI: 10.5565/publmat_362b92_03
Títulos paralelos:
- Curvas espaciales subcanónicas no obstruidas
Enlaces
- Texto completo
Resumen
- 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.