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On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle

On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle

Based on the recent work of K.~Zhang, we discuss the Miyaoka-Yau type inequality for projective manifolds with nef anti-canonical line bundle, assuming the lower bound of the delta-invariant introduced by Fujita and Odaka.