Equality in the Miyaoka–Yau inequality and uniformization of non-positively curved klt pairs

Let $(X, \Delta )$ be a compact Kähler klt pair, where $K_X + \Delta $ is ample or numerically trivial, and $\Delta $ has standard coefficients. We show that if equality holds in the orbifold Miyaoka–Yau inequality for $(X, \Delta )$, then its orbifold universal cover is either the unit ball (ample...

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Bibliographische Detailangaben
Hauptverfasser: Claudon, Benoît, Graf, Patrick, Guenancia, Henri
Format: Artikel
Sprache:English
Veröffentlicht: Académie des sciences 2024-06-01
Schriftenreihe:Comptes Rendus. Mathématique
Schlagworte:
Online Zugang:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.599/