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Generic regularity for minimizing hypersurfaces in dimensions $9$ and $10$
Otis Chodosh1; Christos Mantoulidis2; Felix Schulze3
1Department of Mathematics Bldg. 380 Stanford University Stanford, CA 94305 (USA)
2Department of Mathematics Rice University Houston, TX 77005 (USA)
3Department of Mathematics Zeeman Building University of Warwick Gibbet Hill Road Coventry CV4 7AL (UK)
Publications Mathématiques de l'IHÉS, Online first, pp. 143-188
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We prove that singularities of area minimizing hypersurfaces can be perturbed away in ambient dimensions $9$ and $10$.

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DOI: 10.5802/pmihes.25
Classification: 53A10, 49Q05, 49Q20, 58A25
Keywords: Area minimizing hypersurface, generic regularity, Plateau problem

Otis Chodosh  1 ; Christos Mantoulidis  2 ; Felix Schulze  3

1 Department of Mathematics Bldg. 380 Stanford University Stanford, CA 94305 (USA)
2 Department of Mathematics Rice University Houston, TX 77005 (USA)
3 Department of Mathematics Zeeman Building University of Warwick Gibbet Hill Road Coventry CV4 7AL (UK) 
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Otis Chodosh; Christos Mantoulidis; Felix Schulze. Generic regularity for minimizing hypersurfaces in dimensions $9$ and $10$. Publications Mathématiques de l'IHÉS, Online first, pp. 143-188

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