Generic regularity for minimizing hypersurfaces in dimensions 9 and 10
Differential Geometry
2026-03-17 v3 Analysis of PDEs
Abstract
We prove that singularities of area minimizing hypersurfaces can be perturbed away in ambient dimensions 9 and 10.
Keywords
Cite
@article{arxiv.2302.02253,
title = {Generic regularity for minimizing hypersurfaces in dimensions 9 and 10},
author = {Otis Chodosh and Christos Mantoulidis and Felix Schulze},
journal= {arXiv preprint arXiv:2302.02253},
year = {2026}
}
Comments
53 pages. Final version, to appeal in Publications math\'ematiques de l'IHES