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arXiv · 2603.07225

Log Bott localization with non-isolated lci zero varieties

Maurício Corrêa·Elaheh Shahsavaripour
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Abstract

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.

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Maurício Corrêa, Elaheh Shahsavaripour. 2026-03-07. Log Bott localization with non-isolated lci zero varieties. https://arxiv.org/abs/2603.07225

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