A Hirzebruch proportionality principle in Arakelov geometry
Algebraic Geometry
2007-05-23 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0105102,
title = {A Hirzebruch proportionality principle in Arakelov geometry},
author = {Kai Koehler},
journal= {arXiv preprint arXiv:math/0105102},
year = {2007}
}
Comments
15 pages