Publications [#296279] of Chad L. Schoen

Papers Published

1. Buhler, J; Schoen, C; Top, J, Cycles, L-functions and triple products of elliptic curves, Journal fur die Reine und Angewandte Mathematik, vol. 492 (December, 1997), pp. 93-133
   (last updated on 2025/02/21)

   Abstract:
   A variant of a conjecture of Beilinson and Bloch relates the rank of the Griffiths group of a smooth projective variety over a number field to the order of vanishing of an L-function at the center of the critical strip. Presently, there is little evidence to support the conjecture, especially when the L-function vanishes to order greater than 1. We study 1-cycles on E3 for various elliptic curves E/ℚ. In each of the 76 cases considered we find that the empirical order of vanishing of the L-function is at least as large as our best lower bound on the rank of the Griffiths group. In 11 cases this lower bound is two.