On Goncharov's regulator and higher arithmetic Chow groups

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Standard

On Goncharov's regulator and higher arithmetic Chow groups. / Gil, J. I. Burgos; Feliu, Elisenda; Takeda, Y.

I: International Mathematics Research Notices, Nr. 1, 2011, s. 40-73.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Gil, JIB, Feliu, E & Takeda, Y 2011, 'On Goncharov's regulator and higher arithmetic Chow groups', International Mathematics Research Notices, nr. 1, s. 40-73. https://doi.org/10.1093/imrn/rnq066

APA

Gil, J. I. B., Feliu, E., & Takeda, Y. (2011). On Goncharov's regulator and higher arithmetic Chow groups. International Mathematics Research Notices, (1), 40-73. https://doi.org/10.1093/imrn/rnq066

Vancouver

Gil JIB, Feliu E, Takeda Y. On Goncharov's regulator and higher arithmetic Chow groups. International Mathematics Research Notices. 2011;(1):40-73. https://doi.org/10.1093/imrn/rnq066

Author

Gil, J. I. Burgos ; Feliu, Elisenda ; Takeda, Y. / On Goncharov's regulator and higher arithmetic Chow groups. I: International Mathematics Research Notices. 2011 ; Nr. 1. s. 40-73.

Bibtex

@article{d0c806cd0e7f49a8bbab677a64abbf5d,
title = "On Goncharov's regulator and higher arithmetic Chow groups",
abstract = "In this paper, we show that the regulator defined by Goncharov from higher algebraic Chow groups to Deligne–Beilinson cohomology agrees with Beilinson{\textquoteright}s regulator. We give a direct comparison of Goncharov{\textquoteright}s regulator to the construction given by Burgos Gil and Feliu. 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. ",
author = "Gil, {J. I. Burgos} and Elisenda Feliu and Y. Takeda",
year = "2011",
doi = "10.1093/imrn/rnq066",
language = "English",
pages = "40--73",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - On Goncharov's regulator and higher arithmetic Chow groups

AU - Gil, J. I. Burgos

AU - Feliu, Elisenda

AU - Takeda, Y.

PY - 2011

Y1 - 2011

N2 - In this paper, we show that the regulator defined by Goncharov 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. 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.

AB - In this paper, we show that the regulator defined by Goncharov 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. 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.

U2 - 10.1093/imrn/rnq066

DO - 10.1093/imrn/rnq066

M3 - Journal article

SP - 40

EP - 73

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 1

ER -

ID: 40285376