Bott-Chern Forms and Arithmetic Intersections
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
Let \E : 0 --> S --> E --> Q --> 0 be a short exact sequence of hermitian vector bundles with metrics on S and Q induced from that on E. We compute the Bott-Chern form of \E corresponding to any characteristic class, assuming E is projectively flat. The result is used to obtain a new presentation of the Arakelov Chow ring of the arithmetic grassmannian.
Cite
@article{arxiv.alg-geom/9611005,
title = {Bott-Chern Forms and Arithmetic Intersections},
author = {Harry Tamvakis},
journal= {arXiv preprint arXiv:alg-geom/9611005},
year = {2008}
}
Comments
22 pages, LaTex, fonts corrected, to appear in L'Enseignement Mathematique