Formal completion of the Jacobians of plane curves and higher real K-theories Original Research Article

In this note we will study the formal completion of the Jacobian of a certain class of curves over p-adic rings. These curves generalize the Legendre family of elliptic curves. As an immediate application, we will describe the representation which is crucial for calculating the initial term of the spectral sequence, converging to the homotopy groups of the higher real K-theories image.