Miyaoka-Yau equality and uniformization of log Fano pairs

Fuente: arXiv
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Main Author: Dailly, Louis
Format: Preprint
Published: 2025
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author Dailly, Louis
author_facet Dailly, Louis
contents Let $(X, Δ)$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_05887
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Miyaoka-Yau equality and uniformization of log Fano pairs
Dailly, Louis
Algebraic Geometry
Complex Variables
Let $(X, Δ)$ 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.
title Miyaoka-Yau equality and uniformization of log Fano pairs
topic Algebraic Geometry
Complex Variables
url https://arxiv.org/abs/2501.05887