  We study the prospects of discovering CP-violation in the production of
tau-leptons in the reaction {e+e- --> tau+tau- at TESLA, an e+e- linear
collider with center-of-mass energies of 500 or even 800 GeV. Non-vanishing
expectation values of certain correlations between the momenta of the decay
products of the two tau leptons would signalthe presence of CP-violation beyond
the standard model. We study how longitudinal beam polarization of the electron
and positron beams will enhance these correlations. We find that T-odd and
T-even vector correlations are well suited for the measurements of the real and
imaginary parts of the electric dipole form factors. We expect measurements of
the real part with a precision of roughly 10^-20 ecm and of the imaginary part
of 10^-17 ecm. This compares well with the size of the expected effects in many
extensions of the standard model.
