Condo repairs?

Say, for the sake of argument, you were to live in a condominium complex. Further, say you were to rent your condominium rather than owning it.

Say your upstairs neighbor had some sort of a leak which resulted in water pouring through your ceiling. How would you deal with it?

I know how to handle this when one landlord owns the entire building, but this is different.

I'm not actually sure what the problem is, except that a bunch of water just dumped through the A/C vent in my kitchen. I can call my landlord's service company, but they probably can't do anything except come and tell me that no, it's not the A/C. After that I, what? Contact the landlord? Contact the association? Spend the next 10 months putting out buckets occasionally?