Rectifiability of Flat Singular Points for Area-Minimizing mod 2Q Hypercurrents

Abstract Consider an m -dimensional area minimizing mod (2Q) current T, with Q {N}, inside a sufficiently regular Riemannian manifold of dimension m + 1. We show that the set of singular density- Q points with a flat tangent cone is (m-2) -rectifiable. This complements the thorough structural analysis of the singularities of area-minimizing hypersurfaces modulo p that has been completed in the series of works of De Lellis–Hirsch–Marchese–Stuvard and De Lellis–Hirsch–Marchese–Stuvard–Spolaor, and the work of Minter–Wickramasekera.