Higher arithmetic Chern character
K-Theory and Homology
2012-06-12 v1 Algebraic Geometry
Abstract
A map from the higher arithmetic -group defined by the author to the higher arithmetic Chow group constructed by Burgos and Feliu is given. It is a higher extension of the arithmetic Chern character established by Gillet and Soul\'{e}, and it can also be regarded as an analogue of Beilinson's regulator in Arakelov geometry. It is shown that this map is compatible with the pull-back map and the product structure.
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Cite
@article{arxiv.1206.2100,
title = {Higher arithmetic Chern character},
author = {Yuichiro Takeda},
journal= {arXiv preprint arXiv:1206.2100},
year = {2012}
}
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98 pages