Chern invariants of some flat bundles in the arithmetic Deligne cohomology

Details Chern invariants of some flat bundles in the arithmetic Deligne cohomology Chern invariants of some flat bundles in the arithmetic Deligne cohomology

2006-04-09

arxiv.org/abs/math/0604196v1

Mathematics

Algebraic Geometry

Scientific paper

In this note, we investigate the Chern classes of flat bundles in the
arithmetic Deligne Cohomology, introduced by Green-Griffiths, Asakura-Saito. We
show nontriviality of the Chern classes in some cases and the proof also
indicates that generic flat bundles (in its moduli space) can be expected to
have nontrivial classes, which is in contrast with some Gauss-Manin systems.

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