4 papers · 1 filter
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…
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…
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…
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…