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Logarithmic Lefschetz fixed point formulae and resonant boundary indices

2026/07/30 by Elaheh Shahsavaripour
Mathematics · #math.AG #math.DG

paper · pdf

arxiv created 2026/07/30 · arxiv updated 2026/07/31

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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