Higher arithmetic Chow groups

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Standard

Higher arithmetic Chow groups. / Gil, J. I. Burgos; Feliu, Elisenda.

I: Commentarii Mathematici Helvetici, Bind 87, Nr. 3, 2012, s. 521-587.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Gil, JIB & Feliu, E 2012, 'Higher arithmetic Chow groups', Commentarii Mathematici Helvetici, bind 87, nr. 3, s. 521-587. <http://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=87&iss=3&rank=1>

APA

Gil, J. I. B., & Feliu, E. (2012). Higher arithmetic Chow groups. Commentarii Mathematici Helvetici, 87(3), 521-587. http://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=87&iss=3&rank=1

Vancouver

Gil JIB, Feliu E. Higher arithmetic Chow groups. Commentarii Mathematici Helvetici. 2012;87(3):521-587.

Author

Gil, J. I. Burgos ; Feliu, Elisenda. / Higher arithmetic Chow groups. I: Commentarii Mathematici Helvetici. 2012 ; Bind 87, Nr. 3. s. 521-587.

Bibtex

@article{6725d1eb22b64307bc7b0e0cb57b0b0d,
title = "Higher arithmetic Chow groups",
abstract = "We give a new construction of higher arithmetic Chow groups for quasi-projective arithmetic varieties over a field. Our definition agrees with the higher arithmetic Chow groups defined by Goncharov for projective arithmetic varieties over a field. These groups are the analogue, in the Arakelov context, of the higher algebraic Chow groups defined by Bloch. For projective varieties the degree zero group agrees with the arithmetic Chow groups defined by Gillet and Soul{\'e}, and in general with the arithmetic Chow groups of Burgos. Our new construction is shown to be a contravariant functor and is endowed with a product structure, which is commutative and associative.",
author = "Gil, {J. I. Burgos} and Elisenda Feliu",
year = "2012",
language = "English",
volume = "87",
pages = "521--587",
journal = "Commentarii Mathematici Helvetici",
issn = "0010-2571",
publisher = "European Mathematical Society Publishing House",
number = "3",

}

RIS

TY - JOUR

T1 - Higher arithmetic Chow groups

AU - Gil, J. I. Burgos

AU - Feliu, Elisenda

PY - 2012

Y1 - 2012

N2 - We give a new construction of higher arithmetic Chow groups for quasi-projective arithmetic varieties over a field. Our definition agrees with the higher arithmetic Chow groups defined by Goncharov for projective arithmetic varieties over a field. These groups are the analogue, in the Arakelov context, of the higher algebraic Chow groups defined by Bloch. For projective varieties the degree zero group agrees with the arithmetic Chow groups defined by Gillet and Soulé, and in general with the arithmetic Chow groups of Burgos. Our new construction is shown to be a contravariant functor and is endowed with a product structure, which is commutative and associative.

AB - We give a new construction of higher arithmetic Chow groups for quasi-projective arithmetic varieties over a field. Our definition agrees with the higher arithmetic Chow groups defined by Goncharov for projective arithmetic varieties over a field. These groups are the analogue, in the Arakelov context, of the higher algebraic Chow groups defined by Bloch. For projective varieties the degree zero group agrees with the arithmetic Chow groups defined by Gillet and Soulé, and in general with the arithmetic Chow groups of Burgos. Our new construction is shown to be a contravariant functor and is endowed with a product structure, which is commutative and associative.

M3 - Journal article

VL - 87

SP - 521

EP - 587

JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

SN - 0010-2571

IS - 3

ER -

ID: 40285632