Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910620754903040 |
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| author | Liu, Manli Shao, Guokuan Wang, Wenxuan |
| author_facet | Liu, Manli Shao, Guokuan Wang, Wenxuan |
| contents | In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental estimates are satisfied and then strong holomorphic Morse inequalities hold true in various settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16836 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate Liu, Manli Shao, Guokuan Wang, Wenxuan Complex Variables Differential Geometry Primary: 32A25, 53C55, 32W05, 32L10 In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental estimates are satisfied and then strong holomorphic Morse inequalities hold true in various settings. |
| title | Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate |
| topic | Complex Variables Differential Geometry Primary: 32A25, 53C55, 32W05, 32L10 |
| url | https://arxiv.org/abs/2409.16836 |