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Mathematics > Complex Variables
Title: Multiplier Submodule Sheaves and a problem of Lempert
(Submitted on 26 Nov 2021 (v1), last revised 14 May 2024 (this version, v2))
Abstract: In this article, we establish an $L^2$ extension theorem for Nakano semi-positive singular Hermitian metrics on holomorphic vector bundles, and the strong openness and stability properties of the multiplier submodule sheaves associated to Nakano semi-positive singular Hermitian metrics on holomorphic vector bundles.
We solve affirmatively a question of Lempert on the preservation of Nakano semi-positivity under limit of an increasing metrics based on Deng-Ning-Wang-Zhou's characterization of Nakano positivity.
Submission history
From: Hui Yang [view email][v1] Fri, 26 Nov 2021 12:11:44 GMT (29kb)
[v2] Tue, 14 May 2024 16:04:59 GMT (51kb)
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