Computations of Bott-Chern classes on P(E)

Details Computations of Bott-Chern classes on P(E) Computations of Bott-Chern classes on P(E)

2003-05-16

arxiv.org/abs/math/0305236v1

Duke Mathematical Journal 124 (2004) 389-420

Mathematics

Algebraic Geometry

Scientific paper

10.1215/S0012-7094-04-12425-X

We compute the Bott-Chern classes of the metric Euler sequence describing the relative tangent bundle of the variety P(E) of hyperplans of a holomorphic hermitian vector bundle (E,h) on a complex manifold. We give applications to the construction of the arithmetic characteristic classes of an arithmetic vector bundle and to the computation of the height of P(E) with respect to the tautological quotient bundle O_E(1).

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