Boundary points, minimal \(L^2\) integrals and concavity property \(V\): vector bundles
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Publication:6166642
DOI10.1007/S12220-023-01371-1zbMATH Open1522.32058arXiv2206.00443OpenAlexW4383988855MaRDI QIDQ6166642
Author name not available (Why is that?)
Publication date: 3 August 2023
Published in: (Search for Journal in Brave)
Abstract: In this article, for singular hermitian metrics on holomorphic vector bundles, we consider minimal integrals on sublevel sets of plurisubharmonic functions on weakly pseudoconvex K"ahler manifolds related to modules at boundary points of the sublevel sets, and establish a concavity property of the minimal integrals. As applications, we present a necessary condition for the concavity degenerating to linearity, a strong openness property of the modules and a twisted version, an effectiveness result of the strong openness property of the modules, and an optimal support function related to the modules.
Full work available at URL: https://arxiv.org/abs/2206.00443
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