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Miyaoka-Yau equality and uniformization of log Fano pairs

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arxiv 2501.05887 v1 pith:LK5GDAZ6 submitted 2025-01-10 math.AG math.CV

classification math.AGmath.CV
keywords equalityfanomiyaoka-yaucasecoefficientscoverdeltainequality
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abstract

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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