Drinfeld modules and torsion in the Chow groups of certain threefolds
Publication
, Journal Article
Schoen, C; Top, J
Published in: Proceedings of the London Mathematical Society
January 1, 2007
Let E → B be an elliptic surface defined over the algebraic closure of a finite field of characteristic greater than 5. Let W be a resolution of singularities of E × B E. We show that the l-adic Abel-Jacobi map from the l-power-torsion in the second Chow group of W to H3(W, l(2))⊗ l/l is an isomorphism for almost all primes l. A main tool in the proof is the assertion that certain CM-cycles in fibres of W → B are torsion, which is proven using results from the theory of Drinfeld modular curves. © 2007 London Mathematical Society.
Duke Scholars
Published In
Proceedings of the London Mathematical Society
DOI
EISSN
1460-244X
ISSN
0024-6115
Publication Date
January 1, 2007
Volume
95
Issue
3
Start / End Page
545 / 566
Related Subject Headings
- 4904 Pure mathematics
- 0104 Statistics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Schoen, C., & Top, J. (2007). Drinfeld modules and torsion in the Chow groups of certain threefolds. Proceedings of the London Mathematical Society, 95(3), 545–566. https://doi.org/10.1112/plms/pdm013
Schoen, C., and J. Top. “Drinfeld modules and torsion in the Chow groups of certain threefolds.” Proceedings of the London Mathematical Society 95, no. 3 (January 1, 2007): 545–66. https://doi.org/10.1112/plms/pdm013.
Schoen C, Top J. Drinfeld modules and torsion in the Chow groups of certain threefolds. Proceedings of the London Mathematical Society. 2007 Jan 1;95(3):545–66.
Schoen, C., and J. Top. “Drinfeld modules and torsion in the Chow groups of certain threefolds.” Proceedings of the London Mathematical Society, vol. 95, no. 3, Jan. 2007, pp. 545–66. Scopus, doi:10.1112/plms/pdm013.
Schoen C, Top J. Drinfeld modules and torsion in the Chow groups of certain threefolds. Proceedings of the London Mathematical Society. 2007 Jan 1;95(3):545–566.
Published In
Proceedings of the London Mathematical Society
DOI
EISSN
1460-244X
ISSN
0024-6115
Publication Date
January 1, 2007
Volume
95
Issue
3
Start / End Page
545 / 566
Related Subject Headings
- 4904 Pure mathematics
- 0104 Statistics
- 0101 Pure Mathematics