A Hirzebruch proportionality principle in Arakelov geometry

Kai Koehler

A Hirzebruch proportionality principle in Arakelov geometry

代数几何 2007-05-23 v1 微分几何

作者: Kai Koehler

摘要

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.

关键词

vector bundles and cohomology extension theorems conjectures and proofs

引用

@article{arxiv.math/0105102,
  title  = {A Hirzebruch proportionality principle in Arakelov geometry},
  author = {Kai Koehler},
  journal= {arXiv preprint arXiv:math/0105102},
  year   = {2007}
}

备注

15 pages

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