3 papers
math.DG2001
Quaternionic analytic torsion
Kai Koehler, Gregor Weingart
We define an (equivariant) quaternionic analytic torsion for antiselfdual vector bundles on quaternionic Kaehler manifolds, using ideas by Leung and Yi. We compute this torsion for…
math.AG2001
A Hirzebruch proportionality principle in Arakelov geometry
Kai Koehler
We show that a conjectural extension of a fixed point formula in Arakelov geometry implies results about a tautological subring in the arithmetic Chow ring of bases of abelian sche…
math.AG2001
A fixed point formula of Lefschetz type in Arakelov geometry IV: the modular height of C.M. abelian varieties
Kai Koehler, Damian Roessler
We give a new proof of a slightly weaker form of a theorem of P. Colmez. This theorem gives a formula for the Faltings height of abelian varieties with complex multiplication by a…