Immersed stable minimal hypersurfaces whose non-immersed singular set has H^{n-2} measure zero are smooth outside a closed set of dimension at most n-7.
arXiv preprint arXiv:2507.13148 , year=
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math.DG 2years
2026 2verdicts
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Under epsilon-regularity assumptions on a suitable class of stationary integral n-varifolds, the branch set of density ≤ Q has Hausdorff dimension ≤ n-2.
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An Optimal Regularity Theory for Immersed Stable Minimal Hypersurfaces with Small Singular Set
Immersed stable minimal hypersurfaces whose non-immersed singular set has H^{n-2} measure zero are smooth outside a closed set of dimension at most n-7.
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A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity
Under epsilon-regularity assumptions on a suitable class of stationary integral n-varifolds, the branch set of density ≤ Q has Hausdorff dimension ≤ n-2.