1996/11/06 by Harry Tamvakis, Tamvakis, Harry
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9611005
22 pages, LaTex, fonts corrected, to appear in L'Enseignement Mathematique
openalex publication_date 1996/11/06 · arxiv created 1996/11/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.