The higher K-theory of real curves

被引：8

作者：

Pedrini, C

Weibel, C

机构：

[1] Univ Genoa, Dept Math, I-16146 Genoa, Italy

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

K-THEORY | 2002年 / 27卷 / 01期

关键词：

real curve; algebraic K-theory; motivic cohomology;

D O I：

10.1023/A:1020865906645

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If X is a smooth curve defined over the real numbers R, we show that K-n (X) is the sum of a divisible group and a finite elementary Abelian 2-group when n greater than or equal to 2. We determine the torsion subgroup of K-n (X), which is a finite sum of copies of Q/Z and Z/2, only depending on the topological invariants of X( R) and X( C), and show that (for n greater than or equal to 2) these torsion subgroups are periodic of order 8.

引用

页码：1 / 31

页数：31

共 42 条

[1] K2 OF QUATERNION ALGEBRAS [J].