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Miyaoka-Yau equality and uniformization of log Fano pairs

Published 10 Jan 2025 in math.AG and math.CV | (2501.05887v1)

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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