  In this paper we study transitivity of partially hyperbolic endomorphisms of
the two torus whose action in the first homology has two integer eigenvalues of
moduli greater than one. We prove that if the Jacobian is everywhere greater
than the modulus of the largest eigenvalue, then the map is robustly
transitive. For this we introduce Blichfedt's theorem as a tool for extracting
dynamical information from the action of a map in homology. We also treat the
case of specially partially hyperbolic endomorphisms, for which we obtain a
complete dichotomy: either the map is transitive and conjugated to its linear
part, or its unstable foliation must contain an annulus which may either be
wandering or periodic.
