A compactness theorem for surfaces with Bounded Integral Curvature
  We prove a compactness theorem for metrics with Bounded Integral Curvature on a fixed closed surface $\Sigma$. As a corollary, we obtain a compactification of the space of Riemannian metrics with conical singularities, where an accumulation of singularities is allowed. 
Cl\'ement Debin (IF)
math.DG math.MG