  We prove the uniform convergence of the geometric multigrid V-cycle for
hybrid high-order (HHO) and other discontinuous skeletal methods. Our results
generalize previously established results for HDG methods, and our multigrid
method uses standard smoothers and local solvers that are bounded, convergent,
and consistent. We use a weak version of elliptic regularity in our proofs.
Numerical experiments confirm our theoretical results.
