A Hirzebruch proportionality principle in Arakelov geometry
arXiv:math/0105102
Abstract
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 schemes. Among the results are an Arakelov version of the Hirzebruch proportionality principle and a formula for a critical power of of the Hodge bundle.
15 pages