A fixed point formula of Lefschetz type in Arakelov geometry II: A residue formula
Kai Köhler, Damien Roessler (2002)
Annales de l’institut Fourier
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This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result of the first paper to prove a residue formula "à la Bott" for arithmetic characteristic classes living on arithmetic varieties acted upon by a diagonalisable torus; recent results of Bismut- Goette on the equivariant (Ray-Singer) analytic torsion play a key role in the proof.