Measure $0$ of the singular set for $2$-valued stationary hypercurrents
Differential Geometry
2025-09-09 v1 Analysis of PDEs
Dynamical Systems
Abstract
We prove that the singular set of a multiplicity integral hypercurrent that is stationary in the sense of varifolds has a singular set of measure zero.
Cite
@article{arxiv.2509.05544,
title = {Measure $0$ of the singular set for $2$-valued stationary hypercurrents},
author = {Jonas Hirsch and Luca Spolaor},
journal= {arXiv preprint arXiv:2509.05544},
year = {2025}
}
Comments
16 pages, comments welcome