Durfee-type inequality for hypersurface surface singularities

2017/04/28 by Makoto Enokizono, Enokizono, Makoto
Mathematics · #14B05 #Algebraic Geometry (math.AG) #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1704.08807

openalex publication_date 2017/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a "strong" Durfee-type inequality for isolated hypersurface surface singularities, which implies Durfee's strong conjecture for such singularities with non-negative topological Euler number of the exceptional set of the minimal resolution.

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