# Durfee-type inequality for hypersurface surface singularities

## 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.

## Key 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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Source: https://tomesphere.com/paper/1704.08807