Jonas Hirsch

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math.DG2026

Stationary and stable varifolds with singularities

Camillo De Lellis, Jonas Hirsch, Luca Spolaor

We construct minimal $m$ -dimensional immersions in $R^{m + 1}$ , equipped with a $C^{1, I^\pm}$ metric, $I^\pm \in [0, 1)$ , with a sequence of \emph{catenoidal necks} or \emph{floating disks…

math.DG2025

Measure $0$ of the singular set for $2$ -valued stationary hypercurrents

Jonas Hirsch, Luca Spolaor

We prove that the singular set of a multiplicity $2$ integral hypercurrent that is stationary in the sense of varifolds has a singular set of measure zero.

Stationary and stable varifolds with singularities

Measure 0 of the singular set for 2-valued stationary hypercurrents

Measure $0$ of the singular set for $2$ -valued stationary hypercurrents