Log Bott localization with non-isolated lci zero varieties
Complex Variables
2026-03-10 v1 Algebraic Geometry
Differential Geometry
Dynamical Systems
Abstract
We establish a logarithmic Bott localization formula for global holomorphic sections of on a compact complex manifold with simple normal crossings divisor . 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.
Cite
@article{arxiv.2603.07225,
title = {Log Bott localization with non-isolated lci zero varieties},
author = {Maurício Corrêa and Elaheh Shahsavaripour},
journal= {arXiv preprint arXiv:2603.07225},
year = {2026}
}
Comments
20 pages