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

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

2001-05-11

arxiv.org/abs/math/0105098v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

10.1007/s002220100151

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.

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