  The magnetized phase diagram for three-flavor quark matter is studied within
the Polyakov extended Nambu--Jona-Lasinio model. The order parameters are
analyzed with special emphasis on the strange quark condensate. We show that
the presence of an external magnetic field induces several critical endpoints
(CEPs) in the strange sector, which arise due to the multiple phase transitions
that the strange quark undergoes. The spinodal and binodal regions of the phase
transitions are shown to increase with external magnetic field strength. The
influence of strong magnetic fields on the isentropic trajectories around the
several CEPs is analyzed. A focusing effect is observed on the region towards
the CEPs that are related with the strange quark phase transitions. Compared to
the chiral transitions, the deconfinement transition turns out to be less
sensitive to the external magnetic field and the crossover nature is preserved
over the whole phase diagram.
