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math.AG2022
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…
math.AG2001★ 7 cited
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…
math.AG2001★ 48 cited
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…