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

Andreas Rosenschon; V. Srinivas

doi:10.1007/s00208-007-0107-1

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

Andreas Rosenschon
, V. Srinivas

Mathematics

University of Alberta

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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 Griff²(W)/ l are infinite for suitable primes l . We further give examples of smooth projective fourfolds W × F over these p-adic fields for which the l-torsion subgroup CH³ (W ×F) [l] is infinite.

Original language	English
Pages (from-to)	241-249
Number of pages	9
Journal	Mathematische Annalen
Volume	339
Issue number	2
DOIs	https://doi.org/10.1007/s00208-007-0107-1
State	Published - Oct 2007

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title = "Algebraic cycles on products of elliptic curves over p-adic fields",

abstract = "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 Griff2(W)/ l are infinite for suitable primes l . We further give examples of smooth projective fourfolds W {\texttimes} F over these p-adic fields for which the l-torsion subgroup CH3 (W {\texttimes}F) [l] is infinite.",

author = "Andreas Rosenschon and V. Srinivas",

year = "2007",

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AU - Rosenschon, Andreas

AU - Srinivas, V.

PY - 2007/10

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N2 - 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 Griff2(W)/ l are infinite for suitable primes l . We further give examples of smooth projective fourfolds W × F over these p-adic fields for which the l-torsion subgroup CH3 (W ×F) [l] is infinite.

AB - 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 Griff2(W)/ l are infinite for suitable primes l . We further give examples of smooth projective fourfolds W × F over these p-adic fields for which the l-torsion subgroup CH3 (W ×F) [l] is infinite.

UR - https://www.scopus.com/pages/publications/34547464606

U2 - 10.1007/s00208-007-0107-1

DO - 10.1007/s00208-007-0107-1

M3 - Article

AN - SCOPUS:34547464606

SN - 0025-5831

VL - 339

SP - 241

EP - 249

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 2

ER -

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

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