Bott-Chern Forms and Arithmetic Intersections
Abstract
Description
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.
22 pages, LaTex, fonts corrected, to appear in L'Enseignement Mathematique
22 pages, LaTex, fonts corrected, to appear in L'Enseignement Mathematique