Bott-Chern Forms and Arithmetic Intersections

Details Bott-Chern Forms and Arithmetic Intersections Bott-Chern Forms and Arithmetic Intersections

1996-11-06

arxiv.org/abs/alg-geom/9611005v2

Mathematics

Algebraic Geometry

22 pages, LaTex, fonts corrected, to appear in L'Enseignement Mathematique

Scientific paper

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.

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