  We study the N-partite coherences of GHZ and W states for free bosonic and
fermionic fields when any n observers hover near the event horizon of a
Garfinkle-Horowitz-Strominger (GHS) dilaton black hole. We derive the more
general analytical expressions for N-partite coherence, encompassing both
physically accessible and inaccessible coherences in the context of the dilaton
black hole. It has been found that the coherence of the bosonic field is
greater than that of the fermionic field, while the entanglement of the
fermionic field is greater than that of the bosonic field in dilaton spacetime.
Additionally, the coherence of the W state is greater than that of the GHZ
state, whereas the entanglement of the GHZ state is greater than that of the W
state in curved spacetime. These results suggest that we should utilize
suitable quantum resources and different types of particles for relativistic
quantum information tasks.
