Non-obstructed subcanonical space curves

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 _&...

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Detalhes bibliográficos
Autor: Miró-Roig, Rosa M. (Rosa Maria)
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1992
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/132432
Acesso em linha:https://hdl.handle.net/2445/132432
Access Level:acceso abierto
Palavra-chave:Corbes algebraiques
Geometria algebraica
Algebraic curves
Algebraic geometry
Descrição
Resumo: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