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arXiv · 2607.28288

Logarithmic Lefschetz fixed point formulae and resonant boundary indices

Elaheh Shahsavaripour
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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.

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Elaheh Shahsavaripour. 2026-07-30. Logarithmic Lefschetz fixed point formulae and resonant boundary indices. https://arxiv.org/abs/2607.28288

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