Paul Minter

activity

20212026

most citedA Structure Theory for Stable Codimension 1 Integral Varifolds with Applications to Area Minimising Hypersurfaces mod p

8 citations · 19 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.AP2024★ 1 cited

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 $R^{n + m}$ , semicalibrated by a $C^{2, κ_{0}}$ $m$ -form $ω$ is countably $(m - 2)$ -rectifiable.…

math.AP2024★ 1 cited

Fine Structure of Singularities in Area-Minimizing Currents Mod $(q)$

Camillo De Lellis, Paul Minter, Anna Skorobogatova

We study fine structural properties related to the interior regularity of $m$ -dimensional area minimizing currents mod $(q)$ in arbitrary codimension. We show: (i) the set of points…

math.AP2023

The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and $H^{m - 2}$ -a.e. Uniqueness of Tangent Cones

Camillo De Lellis, Paul Minter, Anna Skorobogatova

We consider an area-minimizing integral current $T$ of codimension higher than 1 ins a smooth Riemannian manifold $Σ$ . We prove that $T$ has a unique tangent cone, which is a super…

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

Fine Structure of Singularities in Area-Minimizing Currents Mod(q)

The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and Hm−2-a.e. Uniqueness of Tangent Cones

Fine Structure of Singularities in Area-Minimizing Currents Mod $(q)$

The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and $H^{m - 2}$ -a.e. Uniqueness of Tangent Cones