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Chow group of $0$ -cycles with modulus and higher-dimensional class field theory

Kerz, Moritz ; Saito, Shuji



Abstract

One of the main results of this article is a proof of the rank-one case of an existence conjecture on lisse (Q) over bar (l)-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. ...

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