On compact complex surfaces with finite homotopy rank-sum
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913462371745792 |
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| author | Biswas, Indranil Hajra, Buddhadev |
| author_facet | Biswas, Indranil Hajra, Buddhadev |
| contents | A topological space (not necessarily simply connected) is said to have finite homotopy rank-sum if the sum of the ranks of all higher homotopy groups (from the second homotopy group onward) is finite. In this article, we characterize the smooth compact complex Kaehler surfaces having finite homotopy rank-sum. We also prove the Steinness of the universal cover of these surfaces assuming holomorphic convexity of the universal cover. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04558 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On compact complex surfaces with finite homotopy rank-sum Biswas, Indranil Hajra, Buddhadev Algebraic Geometry Complex Variables Geometric Topology 14F35, 14F45, 14J10, 55P20, 55R10 A topological space (not necessarily simply connected) is said to have finite homotopy rank-sum if the sum of the ranks of all higher homotopy groups (from the second homotopy group onward) is finite. In this article, we characterize the smooth compact complex Kaehler surfaces having finite homotopy rank-sum. We also prove the Steinness of the universal cover of these surfaces assuming holomorphic convexity of the universal cover. |
| title | On compact complex surfaces with finite homotopy rank-sum |
| topic | Algebraic Geometry Complex Variables Geometric Topology 14F35, 14F45, 14J10, 55P20, 55R10 |
| url | https://arxiv.org/abs/2408.04558 |