Generic regularity for minimizing hypersurfaces in dimensions  9 and  10

Key Points

• To establish that singularities in area minimizing hypersurfaces can be perturbed away in higher dimensions.
• Formal proofs in geometric analysis
• Analysis of singularity behavior
• Techniques in perturbation theory
• Singularities can be eliminated through perturbation in dimensions 9 and 10
• Results enhance understanding of geometric properties of hypersurfaces