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 50 条

[11] Arakelov theory of noncommutative arithmetic surfaces
Borek, Thomas
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2010, 642 : 37 - 55
[12] Beyond class field theory: Helmut Hasse's arithmetic in the theory of algebras in early 1931
Fenster, Della D.
Schwermer, Joachim
ARCHIVE FOR HISTORY OF EXACT SCIENCES, 2007, 61 (05) : 425 - 456
[13] Beyond Class Field Theory: Helmut Hasse’s arithmetic in the Theory of algebras in Early 1931
Della D. Fenster
Joachim Schwermer
Archive for History of Exact Sciences, 2007, 61 : 425 - 456
[14] Potential theory and Lefschetz theorems for arithmetic surfaces
Bost, JB
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1999, 32 (02): : 241 - 312
[15] Line bundles on arithmetic surfaces and intersection theory
Jahnel, J
MANUSCRIPTA MATHEMATICA, 1996, 91 (01) : 103 - 119
[16] ALGEBRAIC K-THEORY AND CLASSFIELD THEORY FOR ARITHMETIC SURFACES
BLOCH, S
ANNALS OF MATHEMATICS, 1981, 114 (02) : 229 - 265
[17] Some consequences of Wiesend’s higher dimensional class field theoryAppendix to: “Class field theory for arithmetic schemes” by G. Wiesend
Alexander Schmidt
Mathematische Zeitschrift, 2007, 256 : 731 - 736
[18] The formation class group (The arithmetic area field)
Dehn, M
ACTA MATHEMATICA, 1938, 69 (01) : 135 - 206
[19] Arithmetic features of rational conformal field theory
Todorov, IT
ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1995, 63 (04): : 427 - 453
[20] The arithmetic demonstrations in the theory of the field of classes.
Chevalley, C
Nehrkorn, H
MATHEMATISCHE ANNALEN, 1935, 111 : 364 - 371

← 1 2 3 4 5 →