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Generic regularity for minimizing hypersurfaces in dimensions 9 and 10 | Synapse

April 4, 2026Publications mathématiques de l IHÉS0 citations

Generic regularity for minimizing hypersurfaces in dimensions 9 and 10

OCOtis Chodosh CMChristos Mantoulidis FSFelix Schulze

Puntos clave

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

Resumen

We prove that singularities of area minimizing hypersurfaces can be perturbed away in ambient dimensions 9 and 10 .

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Cite This Study

Chodosh et al. (2026) studied this question.

synapsesocial.com/papers/69d0ae94659487ece0fa4773 https://doi.org/10.5802/pmihes.25

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