Chern invariants of some flat bundles in the arithmetic Deligne cohomology |
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Authors: | Jaya N N Iyer |
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Institution: | (1) The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600113, India |
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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. |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 14C25 14D05 14D20 14D21 |
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