Preprint in the OpenAI Math release

A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold

OpenAI

Abstract

The singular set of every stationary integral m-varifold in an open Euclidean set has Hausdorff dimension at most $m - 1$ , in every positive dimension and codimension. This sharp bound proves the Euclidean singular-set conjecture recorded by Brena, Decio, and De Lellis.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

Not verified 50%Verified 50%

What do you think this paper will get?

All positions stay anonymous.

How do these markets work?

est. 50% chance this result is independently verified by the end of 2027.

What do you think this paper will get?

Discussion (0)