48 citations · 55 across the 4 of their papers we have counts for
4 papers
Asymptotics of holomorphic torsion on orbifolds and an equivariant arithmetic Hilbert-Samuel theorem
Kai Köhler
We compute the -part of the asymptotic expansion of the holomorphic torsion of the -th power of a positive line bundle in terms of characteristic classes. This is done f…
Analytic torsion forms for fibrations by projective curves
Kai Koehler
An explicit formula for analytic torsion forms for fibrations by projective curves is given. In particular one obtains a formula for direct images in Arakelov geometry in the corre…
A fixed point formula of Lefschetz type in Arakelov geometry III: representations of Chevalley schemes and heights of flag varieties
Christian Kaiser, Kai Koehler
We give a new proof of the Jantzen sum formula for integral representations of Chevalley schemes over Spec Z. This is done by applying the fixed point formula of Lefschetz type in…
A fixed point formula of Lefschetz type in Arakelov geometry II: a residue formula
Kai Koehler, Damian Roessler
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…