Equality in the Miyaoka-Yau inequality and uniformization of non-positively curved klt pairs
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908425578872832 |
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| author | Claudon, Benoît Graf, Patrick Guenancia, Henri |
| author_facet | Claudon, Benoît Graf, Patrick Guenancia, Henri |
| contents | Let $(X, Δ)$ be a compact Kähler klt pair, where $K_X + Δ$ is ample or numerically trivial, and $Δ$ has standard coefficients. We show that if equality holds in the orbifold Miyaoka-Yau inequality for $(X, Δ)$, then its orbifold universal cover is either the unit ball (ample case) or the affine space (numerically trivial case). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04074 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equality in the Miyaoka-Yau inequality and uniformization of non-positively curved klt pairs Claudon, Benoît Graf, Patrick Guenancia, Henri Algebraic Geometry Complex Variables Differential Geometry Let $(X, Δ)$ be a compact Kähler klt pair, where $K_X + Δ$ is ample or numerically trivial, and $Δ$ has standard coefficients. We show that if equality holds in the orbifold Miyaoka-Yau inequality for $(X, Δ)$, then its orbifold universal cover is either the unit ball (ample case) or the affine space (numerically trivial case). |
| title | Equality in the Miyaoka-Yau inequality and uniformization of non-positively curved klt pairs |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2305.04074 |