Chern invariants of some flat bundles in the arithmetic Deligne cohomology

Iyer, Jaya N. N. (2008) Chern invariants of some flat bundles in the arithmetic Deligne cohomology Mathematische Zeitschrift, 260 (1). pp. 61-76. ISSN 0025-5874

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Official URL: http://link.springer.com/article/10.1007%2Fs00209-...

Related URL: http://dx.doi.org/10.1007/s00209-007-0261-x

Abstract

In this note, we investigate the cycle class map between the rational Chow groups and the arithmetic Deligne cohomology, introduced by Green–Griffiths and Asakura–Saito. We show nontriviality of the Chern classes of flat bundles in the arithmetic Deligne Cohomology in some cases and our proofs also indicate that generic flat bundles can be expected to have nontrivial classes. This provides examples of non-zero classes in the arithmetic Deligne cohomology which become zero in the usual rational Deligne cohomology.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
ID Code:102302
Deposited On:01 Feb 2018 11:04
Last Modified:01 Feb 2018 11:04

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