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math.DG2026
The canonical structures of the limit of the Yang-Mills flows for nef and big classes
Satoshi Jinnouchi
In the previous paper \cite{Jin26}, the author introduced the notions of an adapted current and an adapted Hermitian-Einstein metric to establish the Kobayashi-Hitchin correspo…
math.DG2026
The Kobayashi-Hitchin correspondence for nef and big classes
Satoshi Jinnouchi
In this paper, we establish the Kobayashi-Hitchin correspondence for nef and big cohomology classes by introducing the notions of adapted closed positive -currents and adapt…
math.DG2025
On the Kobayashi-Hitchin correspondence for Kähler currents
Satoshi Jinnouchi
In this paper, we show that if a holomorphic vector bundle is slope polystable with respect to a Kähler class, then it admits a Hermitian-Yang-Mills metric with respect to a suita…