# Examples of sheaf on piles

I am looking for examples of sheaves on stacks (defined in Understanding the Definition of Sheaf on a Stack) that come from several varieties.

Let $$M$$ to be a multiple then $$underline {M}$$ is a stack associated with $$M$$ (I can give details if need be).

We know when to call a battery card $$mathcal {D} rightarrow mathcal {C}$$ a sheaf on the pile. assume $$mathcal {D}$$ comes from a multiple $$M$$ and $$mathcal {C}$$ comes from a multiple $$N$$ it is to say that we have $$underline {M} rightarrow underline {N}$$.

Given a battery map $$F: underline {M} rightarrow underline {N}$$we have a unique map $$F (id): M rightarrow N$$ associated to $$F$$.