  Elliptic flow of the hot, dense system which has been created in
nucleus-nucleus collisions develops as a response to the initial azimuthal
asymmetry of the reaction region. Here it is suggested that the magnitude of
this response shows a ``kinky'' dependence on the centrality of collisions for
which the system passes through a first-order or rapid transition between
quark-gluon plasma and hadronic matter. We have studied the system Pb(158AGeV)
on Pb employing a recent version of the transport theoretical approach RQMD and
find the conjecture confirmed. The novel phase transition signature may be
observable in present and forthcoming experiments at CERN-SPS and at RHIC, the
BNL collider.
