零循环周氏群的变形理论

IF 0.6 4区数学 Q3 MATHEMATICS

Quarterly Journal of Mathematics Pub Date : 2020-03-01 DOI:10.1093/qmathj/haaa004

Morten Lüders

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引用次数: 2

摘要

研究了Henselian离散赋值环上光滑格式的特殊纤维的Chow群零环的变形。我们的主要工具是布洛赫公式和微分形式。作为一个推论，我们得到了先前用理想技术得到的增厚零环的代数化定理。在证明过程中，我们发展了具有微分形式系数的上同群的移动引理和Lefschetz定理。

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DEFORMATION THEORY OF THE CHOW GROUP OF ZERO CYCLES

We study the deformations of the Chow group of zerocycles of the special fibre of a smooth scheme over a Henselian discrete valuation ring. Our main tools are Bloch's formula and differential forms. As a corollary we get an algebraization theorem for thickened zero cycles previously obtained using idelic techniques. In the course of the proof we develop moving lemmata and Lefschetz theorems for cohomology groups with coefficients in differential forms.

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来源期刊

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.