Cycles on arithmetic surfaces

被引：9

作者：

Abbes, A ^{[1
]}

机构：

[1] Univ Paris 13, Inst Galilee, CNRS, UMR 7539, F-93430 Villetaneuse, France

来源：

COMPOSITIO MATHEMATICA | 2000年 / 122卷 / 01期

关键词：

arithmetic surfaces; localized intersection theory; bivariant classes; Lefschetz fixed point formula; Artin's representations;

D O I：

10.1023/A:1001822419774

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a localized intersection theory for arithmetic schemes on the model of Fulton's intersection theory. We prove a Lefschetz fixed point formula for arithmetic surfaces, and give an application to a conjecture of Serre on the existence of Artin's representations for regular local rings of dimension 2 and unequal characteristic.

引用

页码：23 / 111

页数：89

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