Johannes Testorf

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20232026

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math.CV2026

Explicit Estimates for the Bergman Kernel Form

Johannes Testorf

Let $(L, e^{- ϕ})$ be a positive Hermitian holomorphic line bundle over a compact Riemann surface $X$ , and let $ω = i \partial \partial ϕ$ . We obtain explicit pointwise estimat…

math.CV2023

Ross-Witt Nyström correspondence and Ohsawa-Takegoshi extension

Yan He, Johannes Testorf, Xu Wang

This paper is an attempt to study a few \emph{effective} universality phenomenons in complex geometry using deformations and the Hörmander $L^{2}$ -method. The main idea of the proof…