3 papers
math.AG2025
Admissible HYM metrics on klt KE varieties and the MY equality for big anticanonical K-stable varieties
Satoshi Jinnouchi
This short note includes three results: If a reflexive sheaf on a log terminal Kähler-Einstein variety is slope stable with respect to a singular Kähler…
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 suitab…
math.AG2025
Slope Stable Sheaves and Hermitian-Einstein Metrics on Normal Varieties with Big Cohomology Classes
Satoshi Jinnouchi
In this paper, we introduce the notions of slope stability and the Hermitian Einstein metric for big cohomology classes. The main result is the Kobayashi Hitchin correspondence on…