Durfee-type inequality for hypersurface surface singularities
Makoto Enokizono
TL;DR
This paper proves a strong inequality related to hypersurface surface singularities, confirming Durfee's conjecture for cases with non-negative Euler number of the resolution's exceptional set.
Contribution
It establishes a strong Durfee-type inequality for isolated hypersurface surface singularities, advancing the understanding of their topological and geometric properties.
Findings
Proves a strong Durfee-type inequality for hypersurface singularities
Confirms Durfee's strong conjecture under specific topological conditions
Links the inequality to the Euler number of the resolution's exceptional set
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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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Analytic and geometric function theory · Point processes and geometric inequalities