Logarithmic Lefschetz fixed point formulae and resonant boundary indices
Algebraic Geometry
2026-07-30 v1 Differential Geometry
Abstract
We prove logarithmic Lefschetz fixed point formulae for strict self-maps of compact complex manifolds with simple normal crossings boundary and isolated fixed points. At boundary points, normal rescaling and relative duality give canonical specialisation coefficients for admissible fixed-point ideals. In the de Rham specialisation, non-resonant boundary terms vanish, whereas resonant terms record normal contact and tangential multiplicity.
Cite
@article{arxiv.2607.28288,
title = {Logarithmic Lefschetz fixed point formulae and resonant boundary indices},
author = {Elaheh Shahsavaripour},
journal= {arXiv preprint arXiv:2607.28288},
year = {2026}
}