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Bibliographic Details
Main Authors: Minter, Paul, Parise, Davide, Skorobogatova, Anna, Spolaor, Luca
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.03037
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Table of Contents:
  • We prove that the singular set of an $m$-dimensional integral current $T$ in $\mathbb{R}^{n + m}$, semicalibrated by a $C^{2, κ_0}$ $m$-form $ω$ is countably $(m - 2)$-rectifiable. Furthermore, we show that there is a unique tangent cone at $\mathcal{H}^{m - 2}$-a.e. point in the interior singular set of $T$. Our proof adapts techniques that were recently developed in [DLS23a, DLS23b, DLMS23] for area-minimizing currents to this setting.