In this paper, we prove the Miyaoka–Yau inequality for compact Kähler manifolds with semi-positive canonical bundles. The key point of the proof is the estimate for the \(L^2\)-norm of the scalar curvature along the Kähler–Ricci flow.

中文翻译：

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带有半正则正则束的紧实Kähler流形的Miyaoka–Yau不等式

在本文中，我们证明了带有正正规范束的紧实Kähler流形的Miyaoka-Yau不等式。证明的关键点是沿着Kähler-Ricci流的标量曲率\（L ^ 2 \）-范数的估计。