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.

Bibliographic Details
Author: Elías García, Joan
Format: article
Status:Published version
Publication Date:1993
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/7724
Online Access:https://hdl.handle.net/2445/7724
Access Level:Open access
Keyword:Geometria algebraica
Anells locals
Local theory
Local rings and semilocal rings
Description
Summary: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.