The set of flat singular points of locally maximal density in an area-minimizing integral current has locally finite (m-2)-dimensional Hausdorff measure.
Annals of Mathematics
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Hausdorff measure bounds for density-$Q$ flat singularities of minimizing integral currents
The set of flat singular points of locally maximal density in an area-minimizing integral current has locally finite (m-2)-dimensional Hausdorff measure.