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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…