Uniformization of klt pairs by bounded symmetric domains
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917805222264832 |
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| author | Graf, Patrick Patel, Aryaman |
| author_facet | Graf, Patrick Patel, Aryaman |
| contents | Given a complex-projective klt pair $(X, Δ)$ with standard coefficients and such that $K_X + Δ$ is ample, we determine necessary and sufficient conditions for the pair $(X, Δ)$ to be uniformized by a bounded symmetric domain. As an application, we obtain characterizations of orbifold quotients of the polydisc and of the four classical irreducible bounded symmetric domains in terms of Miyaoka-Yau-type Chern equalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniformization of klt pairs by bounded symmetric domains Graf, Patrick Patel, Aryaman Algebraic Geometry Complex Variables Differential Geometry Given a complex-projective klt pair $(X, Δ)$ with standard coefficients and such that $K_X + Δ$ is ample, we determine necessary and sufficient conditions for the pair $(X, Δ)$ to be uniformized by a bounded symmetric domain. As an application, we obtain characterizations of orbifold quotients of the polydisc and of the four classical irreducible bounded symmetric domains in terms of Miyaoka-Yau-type Chern equalities. |
| title | Uniformization of klt pairs by bounded symmetric domains |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2410.12753 |