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A Hirzebruch proportionality principle in Arakelov geometry

Kai Koehler
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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 $\hat c_1$ of the Hodge bundle.

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Kai Koehler. 2001-05-11. A Hirzebruch proportionality principle in Arakelov geometry. https://arxiv.org/abs/math/0105102

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