Log Bott localization with non-isolated lci zero varieties
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908871658831872 |
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| author | Corrêa, Maurício Shahsavaripour, Elaheh |
| author_facet | Corrêa, Maurício Shahsavaripour, Elaheh |
| contents | We establish a logarithmic Bott localization formula for global holomorphic sections of $T_X(-\log D)$ on a compact complex manifold $X$ with simple normal crossings divisor $D$. The zero scheme is allowed to have non-isolated compact components, assumed to be local complete intersections and to satisfy the natural Bott nondegeneracy condition. We further give a current-theoretic formulation and, in the local complete intersection case, identify the local residue term with a Coleff-Herrera current. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07225 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Log Bott localization with non-isolated lci zero varieties Corrêa, Maurício Shahsavaripour, Elaheh Complex Variables Algebraic Geometry Differential Geometry Dynamical Systems We establish a logarithmic Bott localization formula for global holomorphic sections of $T_X(-\log D)$ on a compact complex manifold $X$ with simple normal crossings divisor $D$. The zero scheme is allowed to have non-isolated compact components, assumed to be local complete intersections and to satisfy the natural Bott nondegeneracy condition. We further give a current-theoretic formulation and, in the local complete intersection case, identify the local residue term with a Coleff-Herrera current. |
| title | Log Bott localization with non-isolated lci zero varieties |
| topic | Complex Variables Algebraic Geometry Differential Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2603.07225 |