Translator Disclaimer
15 October 2016 Chow group of 0-cycles with modulus and higher-dimensional class field theory
Moritz Kerz, Shuji Saito
Duke Math. J. 165(15): 2811-2897 (15 October 2016). DOI: 10.1215/00127094-3644902

Abstract

One of the main results of this article is a proof of the rank-one case of an existence conjecture on lisse Q¯-sheaves on a smooth variety U over a finite field due to Deligne and Drinfeld. The problem is translated into the language of higher-dimensional class field theory over finite fields, which describes the abelian fundamental group of U by Chow groups of 0-cycles with moduli. A key ingredient is the construction of a cycle-theoretic avatar of a refined Artin conductor in ramification theory originally studied by Kazuya Kato.

Citation

Download Citation

Moritz Kerz. Shuji Saito. "Chow group of 0-cycles with modulus and higher-dimensional class field theory." Duke Math. J. 165 (15) 2811 - 2897, 15 October 2016. https://doi.org/10.1215/00127094-3644902

Information

Received: 6 May 2014; Revised: 24 October 2015; Published: 15 October 2016
First available in Project Euclid: 31 August 2016

zbMATH: 06656236
MathSciNet: MR3557274
Digital Object Identifier: 10.1215/00127094-3644902

Subjects:
Primary: 14H30
Secondary: 14E22

Keywords: Chow group modulus , higher-dimensional class field theory , ramification theory , refined Artin theory , Smooth I-adic

Rights: Copyright © 2016 Duke University Press

JOURNAL ARTICLE
87 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.165 • No. 15 • 15 October 2016
Back to Top