A numerical characterization of hypersurface singularities

In this note we give a numerical characterization of hypersurface singularities in terms of the normalized Hilbert-Samuel coefficients, and we interpret this result from the point of view of rigid polynomials.

Detalhes bibliográficos
Autor: Elías García, Joan
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1993
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/7724
Acesso em linha:https://hdl.handle.net/2445/7724
Access Level:acceso abierto
Palavra-chave:Geometria algebraica
Anells locals
Local theory
Local rings and semilocal rings
Descrição
Resumo:In this note we give a numerical characterization of hypersurface singularities in terms of the normalized Hilbert-Samuel coefficients, and we interpret this result from the point of view of rigid polynomials.