Publications [#318333] of Chad L. Schoen

Papers Published

1. Schoen, C, Complex multiplication cycles and a conjecture of beilinson and bloch, Transactions of the American Mathematical Society, vol. 339 no. 1 (January, 1993), pp. 87-115, American Mathematical Society (AMS) [doi]
   (last updated on 2026/01/14)

   Abstract:
   A generalization of the conjecture of Birch and Swinnerton-Dyer is investigated using complex multiplication cycles on a particular Kuga fiber variety. A weak finiteness result consistent with the conjecture is proved. The image of complex multiplication cycles under the Abel-Jacobi map is computed explicitly. The results provide numerical evidence supporting the conjecture.They also give evidence for a relationship between complex multiplication cycles and a modular form of weight 5/2 and raise questions for further ind. © 1993 American Mathematical Society.