Math @ Duke

Publications [#296290] of Chad Schoen
Papers Published
 Schoen, C; Top, J, Drinfeld modules and torsion in the Chow groups of certain threefolds,
Proceedings of the London Mathematical Society, vol. 95 no. 3
(2007),
pp. 545566, ISSN 00246115 [doi]
(last updated on 2018/07/20)
Abstract: 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 ladic AbelJacobi map from the lpowertorsion 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 CMcycles in fibres of W → B are torsion, which is proven using results from the theory of Drinfeld modular curves. © 2007 London Mathematical Society.


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