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arxiv: 2501.05887 · v1 · pith:LK5GDAZ6new · submitted 2025-01-10 · 🧮 math.AG · math.CV

Miyaoka-Yau equality and uniformization of log Fano pairs

Louis Dailly This is my paper
classification 🧮 math.AG math.CV
keywords equalityfanomiyaoka-yaucasecoefficientscoverdeltainequality
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Let $(X, \Delta)$ be a log Fano pair with standard coefficients. We show that if it satisfies the equality case in the Miyaoka-Yau inequality, then its orbifold universal cover is a projective space.

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