https://neckpinch.com/authors/mauricio-correa/New arXiv papers by Mauricio Corrêa, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2609.18579/arxiv:2609.18579Wed, 16 Sep 2026 00:00:00 GMTDaniele Angella, Mauricio Corrêa — Let S be a Kato surface and D its maximal reduced divisor of rational curves. On S∖ D we construct Hermitian metrics which are flat along the leaves of the canonical foliation and study their evolution under the Chern-Ricci flow. For Enoki surfaces, we construct an immortal normalised solution which, on every compact sublevel of the natural exhaustion, converges in the Gromov-Hausdorff sense to the elliptic base endowed with an explicit flat metric. For Kato surfaces of intermediate type, the affine Green model and its finite-index extension give, under the assumption 0<μ<2, an explicit normalised solution which, on every compact Green block, collapses in the Gromov-Hausdorff sense to a circle. In the Enoki case the limiting area is 2πb₂(S); in the intermediate case the length of the limiting circle is determined by the Green and leafwise monodromies.Ricci flowGeneralized & G₂ flowsLimit spaces & RCDLong-time existence & convergence