Mathematics – Algebraic Geometry
Scientific paper
2001-05-11
Mathematics
Algebraic Geometry
15 pages
Scientific paper
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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