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

preprint2022arXivOpen access

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.

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

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Boundary points, minimal L2L^2L2 integrals and concavity property IV -- fibrations over open Riemann surfaces

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