Abstract or Keywords
We give a general method for constructing compact K\"ahler manifolds $X_1$
and $X_2$ whose intermediate Jacobians $J^k(X_1)$ and $J^k(X_2)$ are isogenous
for each $k$, and we exhibit some examples. The method is based upon the
algebraic transplantation formalism arising from Sunada's technique for
constructing pairs of compact Riemannian manifolds whose Laplace spectra are
the same. We also show that the method produces compact Riemannian manifolds
whose Lazzeri Jacobians are isogenous.