March 13, 2024Open Access

The trace operator of quasi-plurisubharmonic functions on compact K\"ahler manifolds

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Abstract

We introduce the trace operator for quasi-plurisubharmonic functions on compact K\"ahler manifolds, allowing to study the singularities of such functions along submanifolds where their generic Lelong numbers vanish. Using this construction we obtain novel Ohsawa--Takegoshi extension theorems and give applications to restricted volumes of big line bundles.

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Darvas et al. (Wed,) studied this question.

synapsesocial.com/papers/68e74464b6db6435876bdf5d https://doi.org/https://doi.org/10.48550/arxiv.2403.08259

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