Résume | Anderson introduced a p-adicversion of soliton theory. He applied it to the Jacobian variety of acyclic quotient of a Fermat curve and showed that torsion points ofcertain prime order lay outside of the theta divisor. We evolve histheory further by using the Artin-Hasse exponential and Hasse-Wittmatrix. As an application, we get stronger results on the intersectionof the theta divisor and torsion points on the Jacobian variety of amore general class of curves. (Joint work with S. Kobayashi. Reference:arXiv:1210.5838.) |