Lightweight tag ?

Hello,

I'm puzzling about the lightweight.

My problem is that I don't see their point !

They behave the same way like the annotated tags: when pushing to a
repo the lightweight tags are pushed as well, and pulling from a repo
with lightweight tags give the same results (all of this with the
--tags switch).

I would have thought that these kind of tags are local to a
repository but it doesn't look so.

So could anybody give me a useful use case for lightweight tags ?

And how can I create local tags ?

Thanks
-- 
Francis