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arXiv:math/0105098 [math.AG]AbstractReferencesReviewsResources

A fixed point formula of Lefschetz type in Arakelov geometry II: a residue formula

Kai Koehler, Damian Roessler

Published 2001-05-11Version 1

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 "`a 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.

Comments: 20 pages
Categories: math.AG, math.DG
Subjects: 14G40, 58J52, 14C40, 14L30, 58J20, 14K15
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