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A Hirzebruch Proportionality Principle in Arakelov Geometry

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Number Fields and Function Fields—Two Parallel Worlds

Part of the book series: Progress in Mathematics ((PM,volume 239))

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Summary

We describe 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 ĉ1 of the Hodge bundle.

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Authors and Affiliations

  1. Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1 Gebäude 25.22, D-40225, Düsseldorf, Germany

    Kai Köhler

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  1. Kai Köhler
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Editors and Affiliations

  1. Korteweg-de Vries Instituut, Universiteit van Amsterdam, 1018 TV, Amsterdam, The Netherlands

    Gerard van der Geer  & Ben Moonen  & 

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, I-00133, Roma, Italy

    René Schoof

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© 2005 Birkhäuser Boston

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Köhler, K. (2005). A Hirzebruch Proportionality Principle in Arakelov Geometry. In: van der Geer, G., Moonen, B., Schoof, R. (eds) Number Fields and Function Fields—Two Parallel Worlds. Progress in Mathematics, vol 239. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4447-4_11

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