Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents

Paul Minter, Davide Parise, Anna Skorobogatova +1

We prove that the singular set of an $m$-dimensional integral current $T$ in ${\mathbb{R}}^{n+m}$, semicalibrated by a $C^{2,{\kappa }_0}$ $m$-form $\omega$ is countably $(m-2)$-rectifiable.…