On Goncharov's regulator and higher arithmetic chow groups

José Ignacio Burgos Gil, Elisenda Feliu, Yuichiro Takeda

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

In this paper, we show that the regulator defined by Goncharov in [10] from higher algebraic Chow groups to Deligne-Beilinson cohomology agrees with Beilinson's regulator. We give a direct comparison of Goncharov's regulator to the construction given by Burgos Gil and Feliu in [5]. As a consequence, we show that the higher arithmetic Chow groups defined by Goncharov agree, for all projective arithmetic varieties over an arithmetic field, with the ones defined by Burgos Gil and Feliu.

本文言語英語
ページ(範囲)40-73
ページ数34
ジャーナルInternational Mathematics Research Notices
2011
1
DOI
出版ステータス出版済み - 1 1 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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