https://neckpinch.com/authors/henri-guenancia/New arXiv papers by Henri Guenancia, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2511.13473/arxiv:2511.13473Mon, 17 Nov 2025 00:00:00 GMTAlix Deruelle, Vincent Guedj, Henri Guenancia, Ahmed Zeriahi — Given a compact Kähler manifold X and a closed, positive (1,1)-current T on X, we find sufficient conditions for T to induce a metric structure (X,d_T) which is the Gromov-Hausdorff limit of compact Kähler manifolds either in a "static" way or at time zero of smooth Kähler-Ricci flows. In dimension 1 we extend works of T. Richard and M. Simon, showing that any oriented compact Alexandrov surface with bounded integral curvature and without cusp is the initial datum of a Kähler-Ricci flow.Ricci flowKähler–Ricci flowKähler geometryWeak & singular flowsLimit spaces & RCD