Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2020-02-05 DOI:10.1090/jag/792

F. Binda, A. Krishna, S. Saito

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引用次数: 11

Abstract

We prove Bloch’s formula for the Chow group of 0-cycles with modulus on a smooth quasi-projective surface over a field. We use this formula to give a simple proof of the rank one case of a conjecture of Deligne and Drinfeld on lisse Q ¯ ℓ \overline {\mathbb {Q}}_{\ell } -sheaves. This was originally solved by Kerz and Saito in characteristic ≠ 2 \neq 2 .

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模0-环的Bloch公式与高维类场论

证明了域上光滑拟投影曲面上具有模的0环Chow群的Bloch公式。我们用这个公式给出了Deligne和Drinfeld关于lisse Q的一个猜想的秩一情形的一个简单证明ℓ \上划线｛\mathbb｛Q｝｝_｛\ell｝-滑轮。这最初是由Kerz和Saito在特征≠2\neq2中解决的。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.