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math.DG2026
Sharp partial regularity of Hamiltonian stationary and special Lagrangian graphs
Arunima Bhattacharya, Gerard Orriols, Anna Skorobogatova
We prove a sharp partial regularity result for Hamiltonian stationary Lagrangian Lipschitz submanifolds in arbitrary smooth almost Kähler manifolds: every weak solution of the corr…
math.DG2025
Hausdorff measure bounds for density- flat singularities of minimizing integral currents
Gianmarco Caldini, Anna Skorobogatova
In this article we prove that the set of flat singular points of locally highest density of area-minimizing integral currents of dimension and general codimension in a smooth R…
math.DG2021
An upper Minkowski bound for the interior singular set of area minimizing currents
Anna Skorobogatova
We show that for an area minimizing -dimensional integral current of codimension at least 2 inside a sufficiently regular Riemannian manifold, the upper Minkowski dimension…