Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem

Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2

We consider area minimizing $m$-dimensional currents $\mathrm{mod}(p)$ in complete $C^2$ Riemannian manifolds $\Sigma$ of dimension $m+1$. For odd moduli we prove that, away from a clos…