A generalization of Barannikov-Kontsevich theorem
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908940346851328 |
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| author | Mochizuki, Takuro |
| author_facet | Mochizuki, Takuro |
| contents | We study the twisted de Rham complex associated with a holomorphic function on a Kähler manifold whose critical point set is compact. We prove the $E_1$-degeneration of the Hodge-to-de Rham spectral sequence. It is a generalization of Barannikov-Kontsevich Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18690 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A generalization of Barannikov-Kontsevich theorem Mochizuki, Takuro Complex Variables Algebraic Geometry We study the twisted de Rham complex associated with a holomorphic function on a Kähler manifold whose critical point set is compact. We prove the $E_1$-degeneration of the Hodge-to-de Rham spectral sequence. It is a generalization of Barannikov-Kontsevich Theorem. |
| title | A generalization of Barannikov-Kontsevich theorem |
| topic | Complex Variables Algebraic Geometry |
| url | https://arxiv.org/abs/2508.18690 |