The Multiplicity of Isolated Two-Dimensional Hypersurface Singularities

Henry B. Laufer
1987 Transactions of the American Mathematical Society  
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.
doi:10.2307/2000853 fatcat:jgs3ki7ffbbj7fi46xxaifrqbe