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 $n$-dimensional projective klt varieties with big canonical divisor $K_X$: \[ (2(n+1)\widehat{c}_2(X) - n \widehat{c}_1(X)^2) \cdot \lan…