Corpus ID: 1800366

Bott-Chern Forms and Arithmetic Intersections

@article{Tamvakis1996BottChernFA,
  title={Bott-Chern Forms and Arithmetic Intersections},
  author={Harry Tamvakis},
  journal={arXiv: Algebraic Geometry},
  year={1996}
}
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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