7 papers
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…
Semipositivity of the orbifold second Chern class in Fujiki's class
Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang
We study inequalities for orbifold second Chern classes of compact normal analytic varieties in Fujiki's class. We prove Miyaoka's inequality for singular varieties in Fujiki's cla…
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…
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 Käh…
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…
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors
Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang
We establish the Miyaoka-Yau inequality for -dimensional projective klt varieties with big canonical divisor : \[ (2(n+1)\widehat{c}_2(X) - n \widehat{c}_1(X)^2) \cdot \lan…