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Alexander Bednarek

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Preprint Sep 2026

On Miyaoka-Yau Inequalities and Weil-Petersson Metrics

We use the K\"ahler-Ricci flow to give alternate proofs of several known Miyaoka-Yau inequalities and slope semi-stabilities, in particular, for the case of compact K\"ahler manifolds with semi-ample canonical line bundles and K-semistable Fano manifolds. Moreover, when the canonical line bundle is semi-ample, and the...

Alexander Bednarek · 0 citations

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