Milnor K-groups and zero-cycles on products of curves over p-adic fields

被引:28
作者
Raskind, W [1 ]
Spiess, M
机构
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
[2] Univ Heidelberg, Math Inst, D-69120 Heidelberg, Germany
关键词
Chow groups; Milnor K-groups; p-adic fields;
D O I
10.1023/A:1001734817103
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the Chow groups of zero cycles of products of curves over a p-adic field by means of the Milnor K-groups of their Jacobians as introduced by Somekawa. We prove some finiteness results for CH0(X)/m for X a product of curves over a p-adic field.
引用
收藏
页码:1 / 33
页数:33
相关论文
共 26 条
[1]  
[Anonymous], 1993, LECT NOTES MATH
[2]  
Beilinson A., 1985, J SOVIET MATH, V30, P2036, DOI [10.1007/BF02105861, DOI 10.1007/BF02105861]
[3]  
BLOCH S, 1984, J REINE ANGEW MATH, V350, P94
[4]   The coniveau filtration and non-divisibility for algebraic cycles [J].
Bloch, S ;
Esnault, H .
MATHEMATISCHE ANNALEN, 1996, 304 (02) :303-314
[5]  
Bloch S., 1994, J. Algebraic Geom, V3, P537
[7]  
COLLIOTTHELENE JL, 1995, P S PURE MATH, V58, P1
[8]  
Jannsen U., 1994, MOTIVES PART 1 PROC, V55, P245
[9]  
KAHN B, 1992, CR ACAD SCI I-MATH, V314, P1039
[10]   UNRAMIFIED CLASS FIELD-THEORY OF ARITHMETICAL SURFACES [J].
KATO, K ;
SAITO, S .
ANNALS OF MATHEMATICS, 1983, 118 (02) :241-275