학술논문
The Multiplicity of Isolated Two-Dimensional Hypersurface Singularities
Document Type
research-article
Author
Source
Transactions of the American Mathematical Society, 1987 Aug 01. 302(2), 489-496.
Subject
Language
English
ISSN
00029947
Abstract
Consider an isolated two-dimensional complex analytic hypersurface singularity $(V, p)$. A relation is given between the abstract topology of $(V, p)$ and the multiplicity of $(V, p)$, yielding an upper bound for the multiplicity. This relation is a necessary condition for a Gorenstein singularity to be a hypersurface.