On ratios of Chern numbers for complex hyperbolic branched covers
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909621247016960 |
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| author | Minemyer, Barry |
| author_facet | Minemyer, Barry |
| contents | In this paper we prove that, at least in even complex dimensions, the ratio of Chern numbers for a closed complex hyperbolic branched cover manifold are not all equal to the corresponding ratio of Chern numbers for a closed complex hyperbolic manifold. This leads to an answer for a question posed by Deraux and Seshadri, and proves that an almost $1/4$-pinched metric constructed by the author in a previous article is not Kähler. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17853 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On ratios of Chern numbers for complex hyperbolic branched covers Minemyer, Barry Differential Geometry Algebraic Topology Complex Variables Geometric Topology Primary 55R25, 57R20, Secondary 53C20, 53C24 In this paper we prove that, at least in even complex dimensions, the ratio of Chern numbers for a closed complex hyperbolic branched cover manifold are not all equal to the corresponding ratio of Chern numbers for a closed complex hyperbolic manifold. This leads to an answer for a question posed by Deraux and Seshadri, and proves that an almost $1/4$-pinched metric constructed by the author in a previous article is not Kähler. |
| title | On ratios of Chern numbers for complex hyperbolic branched covers |
| topic | Differential Geometry Algebraic Topology Complex Variables Geometric Topology Primary 55R25, 57R20, Secondary 53C20, 53C24 |
| url | https://arxiv.org/abs/2505.17853 |