Boundary points, minimal $L^2$ integrals and concavity property IV -- fibrations over open Riemann surfaces

Abstract

In this article, we consider the minimal $L^2$ integrals related to modules at boundary points on fibrations over open Riemann surfaces, and present a characterization for the concavity property of the minimal $L^2$ integrals degenerating to linearity.

arXiv comment36 pages, all comments are welcome. arXiv admin note: text overlap with arXiv:2203.15188, arXiv:2205.07512