Algebraic cycles on products of elliptic curves over p-adic fields

被引:4
作者
Rosenschon, Andreas [1 ]
Srinivas, V.
机构
[1] Univ Alberta, Dept Math, Edmonton, AB, Canada
[2] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
关键词
D O I
10.1007/s00208-007-0107-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that for any odd prime p there is a smooth projective threefold W defined over a p-adic field such that the Chow group CH2(W)/l and the Griffiths group Griff(2)(W)/l are infinite for suitable primes l. We further give examples of smooth projective fourfolds W x F over these p-adic fields for which the l- torsion subgroup CH3(W x F)[l] is infinite.
引用
收藏
页码:241 / 249
页数:9
相关论文
共 14 条
  • [1] The coniveau filtration and non-divisibility for algebraic cycles
    Bloch, S
    Esnault, H
    [J]. MATHEMATISCHE ANNALEN, 1996, 304 (02) : 303 - 314
  • [2] CLEMENS H, 1983, PUBL MATH-PARIS, P231
  • [3] Clemens Herbert, 1983, I HAUTES ETUDES SCI, V58, P19
  • [4] Deligne P., 1973, SPRINGER LECT NOTES, V349, P143
  • [5] Fulton W., 1984, INTERSECTION THEORY, V2
  • [6] CYCLES ON THE GENERIC ABELIAN THREEFOLD
    NORI, MV
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1989, 99 (03): : 191 - 196
  • [7] CURVES ON THREEFOLDS WITH TRIVIAL CANONICAL BUNDLE
    PARANJAPE, KH
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1991, 101 (03): : 199 - 213
  • [8] Milnor K-groups and zero-cycles on products of curves over p-adic fields
    Raskind, W
    Spiess, M
    [J]. COMPOSITIO MATHEMATICA, 2000, 121 (01) : 1 - 33
  • [9] SAITO S, MATHAG0605165
  • [10] Complex varieties for which the Chow group mod n is not finite
    Schoen, C
    [J]. JOURNAL OF ALGEBRAIC GEOMETRY, 2002, 11 (01) : 41 - 100