English

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 TX(logD)T_X(-\log D) on a compact complex manifold XX with simple normal crossings divisor DD. 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

R2 v1 2026-07-01T11:08:31.996Z