Class field theory for arithmetic surfaces

被引：0

作者：

Tian, QC ^{[1
]}

机构：

[1] Peking Univ, Inst Math, Beijing 100871, Peoples R China

来源：

K-THEORY | 1998年 / 13卷 / 02期

关键词：

relative K-theory; arithmetic surface; class field theory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we improve the results of K. Kato and 3. Saito about the ramified class field theory of arithmetic surfaces and give an affirmative answer to the problem 2 of 3. Bloch in Ann. of Math. 114(1981), pp. 229-265.

引用

页码：123 / 149

页数：27

共 9 条

[1] ALGEBRAIC K-THEORY AND CLASSFIELD THEORY FOR ARITHMETIC SURFACES
BLOCH, S
[J]. ANNALS OF MATHEMATICS, 1981, 114 (02) : 229 - 265
[2] UNRAMIFIED CLASS FIELD-THEORY OF ARITHMETICAL SURFACES
KATO, K
SAITO, S
[J]. ANNALS OF MATHEMATICS, 1983, 118 (02) : 241 - 275
[3] Kato K., 1983, GALOIS GROUPS THEIR, V2, P103
[4] LEVINE M, 1989, ANN SCI ECOLE NORM S, V22, P255
[5] THE CONSTRUCTION OF WEIGHT-2 ARITHMETIC COHOMOLOGY
LICHTENBAUM, S
[J]. INVENTIONES MATHEMATICAE, 1987, 88 (01) : 183 - 215
[6] CLASS FIELD-THEORY FOR CURVES OVER LOCAL-FIELDS
SAITO, S
[J]. JOURNAL OF NUMBER THEORY, 1985, 21 (01) : 44 - 80
[7] UNRAMIFIED CLASS FIELD-THEORY OF ARITHMETICAL SCHEMES
SAITO, S
[J]. ANNALS OF MATHEMATICS, 1985, 121 (02) : 251 - 281
[8] Saito Shuji, 1986, Contemp. Math., V55, P255, DOI DOI 10.1090/CONM/055.1/862639
[9] SERRE JP, 1920, GRADUATE TEXTS MATH, V108

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